2sin (example 3.3)

Time bar (total: 11.3s)

analyze55.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%74.7%0%0%0%3
0%0%25.3%74.7%0%0%0%4
0%0%19%81%0%0%0%5
0%0%15.8%84.2%0%0%0%6
0%0%11.1%88.9%0%0%0%7
0%0%8.7%91.3%0%0%0%8
0%0%5.9%94.1%0%0%0%9
0%0%4.5%95.5%0%0%0%10
0%0%3.1%96.9%0%0%0%11
0%0%2.7%97.3%0%0%0%12
Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-sin, time spent: 10.0ms, 31.0% of total-time
Operation ival-<=, time spent: 6.0ms, 19.0% of total-time
Operation ival-mult, time spent: 4.0ms, 13.0% of total-time
Operation ival-<, time spent: 4.0ms, 13.0% of total-time
Operation ival-add, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time
Operation ival-fabs, time spent: 1.0ms, 3.0% of total-time
Operation ival-and, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample6.8s (60.3%)

Results
4.4s25614×256precondition
1.5s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
Operation ival-sin, time spent: 921.0ms, 26.0% of total-time
Operation ival-<=, time spent: 708.0ms, 20.0% of total-time
Operation ival-<, time spent: 424.0ms, 12.0% of total-time
Operation ival-fabs, time spent: 391.0ms, 11.0% of total-time
Operation ival-mult, time spent: 360.0ms, 10.0% of total-time
Operation ival-add, time spent: 305.0ms, 9.0% of total-time
Operation ival-sub, time spent: 211.0ms, 6.0% of total-time
Operation ival-and, time spent: 128.0ms, 4.0% of total-time
Operation const, time spent: 72.0ms, 2.0% of total-time
Bogosity

preprocess221.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
308×fma-neg
118×fma-define
98×sub-neg
78×cancel-sign-sub-inv
70×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2291(2.5564408385084188e-164 1.9642633773087137e-166)3(9.366537776934405e-135 1.0447917292942044e-136)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10-0-(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))cancellation2274
sin.f64(sin.f64 (+.f64 x eps))sensitivity10
Confusion
Predicted +Predicted -
+2273
-125
Precision
0.9956140350877193
Recall
0.9869565217391304
Confusion?
Predicted +Predicted MaybePredicted -
+22730
-1124
Precision?
0.9913793103448276
Recall?
1.0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027226
149210
2101210
3201210
4378210
5481210
6638210
7720210
8762210
9768210
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-sin, time spent: 16.0ms, 53.0% of total-time
Operation ival-add, time spent: 11.0ms, 36.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize44.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.9%
(sin.f64 (+.f64 x eps))
✓61.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-sin, time spent: 7.0ms, 48.0% of total-time
Operation ival-sub, time spent: 4.0ms, 28.0% of total-time
Operation ival-add, time spent: 3.0ms, 21.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series5.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 1)))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
1.0ms
x
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))
0.0ms
x
@-inf
(- (sin (+ x eps)) (sin x))

rewrite245.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
922×fma-define
802×log-prod
422×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))

simplify180.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1082×unsub-neg
674×sub-neg
662×fma-neg
618×div-sub
602×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03838992
18678632
224398236
368938236
Stop Event
1×node limit
Counts
199 → 230
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 1)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))
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(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 -1/2 x) (sin.f64 eps)) 1))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) x) -1)) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x -1/2) -1)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 -1/2 (sin.f64 eps) (*.f64 x (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))) 1))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 x (fma.f64 (cos.f64 eps) -1/6 1/6))) -1)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (*.f64 eps -1/2) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/6 eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps -1/6))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 (*.f64 1/24 eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps 1/24))) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 -1/2 x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 -1/2 (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 -1/2 (sin.f64 eps) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 x (*.f64 (cos.f64 eps) -1/6))) (cos.f64 eps)) (sin.f64 eps))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 (cos.f64 eps) (*.f64 x -1/6))) (cos.f64 eps)) (sin.f64 eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))))
(fma.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(fma.f64 eps (fma.f64 (*.f64 eps -1/2) (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x))))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/6 eps) (cos.f64 x)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps -1/6))) (cos.f64 x)) (sin.f64 x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
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(sin.f64 (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 (-.f64 x eps)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))) (sin.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sin.f64 (+.f64 eps x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval59.0ms (0.5%)

Compiler

Compiled 4201 to 1287 computations (69.4% saved)

prune38.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2246230
Fresh000
Picked011
Done000
Total2247231
Accuracy
100.0%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
▶61.8%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
▶100.0%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
▶99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
▶99.4%
(*.f64 eps (cos.f64 x))
▶98.4%
(sin.f64 eps)
Compiler

Compiled 159 to 116 computations (27% saved)

localize302.0ms (2.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓61.8%
(+.f64 x (-.f64 eps x))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))
✓100.0%
(*.f64 (*.f64 -1/2 eps) (sin.f64 x))
✓100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
Compiler

Compiled 184 to 92 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
Operation ival-mult, time spent: 69.0ms, 41.0% of total-time
Operation ival-sin, time spent: 29.0ms, 17.0% of total-time
Operation composed, time spent: 24.0ms, 14.0% of total-time
Operation ival-cos, time spent: 22.0ms, 13.0% of total-time
Operation ival-add, time spent: 18.0ms, 11.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

series24.0ms (0.2%)

Counts
6 → 124
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 (*.f64 -1/2 eps) (sin.f64 x))>
#<alt (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))>
Outputs
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (*.f64 eps (pow.f64 x 2)))))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/240 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/240 eps) (*.f64 1/10080 (*.f64 eps (pow.f64 x 2)))))))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 (*.f64 eps x)))>
#<alt (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))>
#<alt (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/12 (*.f64 eps x)) 1/2)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
Calls

36 calls:

TimeVariablePointExpression
9.0ms
eps
@0
(* eps (cos x))
1.0ms
x
@inf
(* (* -1/2 eps) (sin x))
1.0ms
eps
@0
(* (* -1/2 eps) (sin x))
1.0ms
x
@-inf
(* (* -1/2 eps) (sin x))
1.0ms
eps
@inf
(* (* -1/2 eps) (sin x))

rewrite169.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1184×log1p-expm1-u
526×expm1-log1p-u
286×associate-*r*
168×associate-*l*
164×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027148
1402132
25306132
Stop Event
1×node limit
Counts
6 → 141
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 -1/2 eps) (sin.f64 x))
(+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))
(+.f64 x (-.f64 eps x))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 eps -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))) (/.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(*.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2)) (/.f64 1 (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2)) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))
(pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 1))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 eps -1/2) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps -1/2) (cos.f64 x))
(fma.f64 1 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))
(fma.f64 1 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (sqrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (cos.f64 x))
(-.f64 eps 0)
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))))
(*.f64 (-.f64 eps 0) 1)
(*.f64 1 (-.f64 eps 0))
(*.f64 (cbrt.f64 (-.f64 eps 0)) (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
(*.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (-.f64 eps x)) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(pow.f64 (-.f64 eps 0) 1)
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
(exp.f64 (log.f64 (-.f64 eps 0)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))

simplify76.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
146×*-commutative
82×+-commutative
58×sub-neg
40×unpow2
34×fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03858544
19518544
Stop Event
1×unsound
Counts
265 → 193
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps x))
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(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (*.f64 eps x)))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/12 (*.f64 eps x)) 1/2)))))
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(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
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(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
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(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 eps -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))) (/.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
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(/.f64 1 (/.f64 (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) 2)) (-.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 eps (sin.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))))))
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(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 3) 1/3)
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(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
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(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 1))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
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(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(pow.f64 (-.f64 eps 0) 1)
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
(exp.f64 (log.f64 (-.f64 eps 0)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
Outputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (neg.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 (*.f64 x -1/2) (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps))) 1/6)) (neg.f64 (sin.f64 (*.f64 1/2 eps))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (*.f64 -1/8 eps) (cos.f64 x)) (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 -1/8 (cos.f64 x) (*.f64 (*.f64 1/48 eps) (sin.f64 x)))) (*.f64 -1/2 (sin.f64 x)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (*.f64 eps -1/2) (pow.f64 x 2)))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/2 eps (*.f64 (*.f64 eps (pow.f64 x 2)) 1/24))))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/2 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 2)) (*.f64 eps 1/24))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 (*.f64 eps -1/2) x)
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (*.f64 eps (pow.f64 x 2)))))
(*.f64 x (fma.f64 -1/2 eps (*.f64 (*.f64 eps 1/12) (pow.f64 x 2))))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/240 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 eps)))))
(*.f64 x (fma.f64 -1/2 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/240 (*.f64 eps (pow.f64 x 2)) (*.f64 eps 1/12)))))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/240 eps) (*.f64 1/10080 (*.f64 eps (pow.f64 x 2)))))))))
(*.f64 x (fma.f64 -1/2 eps (*.f64 (pow.f64 x 2) (fma.f64 1/12 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/240 eps (*.f64 (*.f64 1/10080 eps) (pow.f64 x 2))))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
1
-1
(+.f64 1 (*.f64 -1/2 (*.f64 eps x)))
(+.f64 -1 (*.f64 (*.f64 eps -1/2) x))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))
(+.f64 -1 (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/12 (*.f64 eps x)) 1/2)))))
(+.f64 -1 (*.f64 x (fma.f64 -1/2 eps (*.f64 x (fma.f64 1/12 (*.f64 eps x) -1/2)))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
(*.f64 eps (fma.f64 -1 (/.f64 (cos.f64 x) eps) (*.f64 1/2 (sin.f64 x))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
(*.f64 eps (fma.f64 -1 (/.f64 (cos.f64 x) eps) (*.f64 1/2 (sin.f64 x))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 (sin.f64 x)))))
(*.f64 eps (fma.f64 -1 (/.f64 (cos.f64 x) eps) (*.f64 1/2 (sin.f64 x))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (*.f64 -1/8 eps) (cos.f64 x)) (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 -1/8 (cos.f64 x) (*.f64 (*.f64 1/48 eps) (sin.f64 x)))) (*.f64 -1/2 (sin.f64 x)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (neg.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 (*.f64 x -1/2) (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps))) 1/6)) (neg.f64 (sin.f64 (*.f64 1/2 eps))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
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(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 (-.f64 x eps) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) eps)
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (fma.f64 2 x eps))
(/.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (pow.f64 x 2))) (fma.f64 2 x eps))
(pow.f64 (-.f64 eps 0) 1)
eps
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
eps
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
eps
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
eps
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(sqrt.f64 (pow.f64 eps 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
eps
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
eps
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
eps
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
eps
(exp.f64 (log.f64 (-.f64 eps 0)))
eps
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
eps
(fma.f64 1 x (-.f64 eps x))
(fma.f64 -1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 -1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))

eval69.0ms (0.6%)

Compiler

Compiled 3766 to 2264 computations (39.9% saved)

prune38.0ms (0.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1876193
Fresh011
Picked325
Done011
Total19010200
Accuracy
100.0%
Counts
200 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
▶100.0%
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
▶99.4%
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
▶98.4%
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
✓99.4%
(*.f64 eps (cos.f64 x))
▶3.8%
(*.f64 eps -1)
✓98.4%
(sin.f64 eps)
▶98.4%
eps
Compiler

Compiled 175 to 129 computations (26.3% saved)

localize328.0ms (2.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
✓99.8%
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))
✓100.0%
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
✓100.0%
(*.f64 -1/2 (*.f64 eps x))
✓100.0%
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
Compiler

Compiled 143 to 95 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
Operation ival-mult, time spent: 69.0ms, 34.0% of total-time
Operation ival-cos, time spent: 66.0ms, 32.0% of total-time
Operation ival-sin, time spent: 47.0ms, 23.0% of total-time
Operation ival-add, time spent: 11.0ms, 5.0% of total-time
Operation ival-sub, time spent: 5.0ms, 2.0% of total-time
Operation const, time spent: 5.0ms, 2.0% of total-time

series21.0ms (0.2%)

Counts
5 → 82
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))>
#<alt (*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))>
Outputs
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt eps>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))>
#<alt (*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))>
#<alt (*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))>
#<alt (*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))))>
#<alt (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x)) (/.f64 eps (pow.f64 x 2)))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x)) (/.f64 eps (pow.f64 x 2)))))>
#<alt (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2))) x)) (*.f64 -1/2 eps)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2))) x)) (*.f64 -1/2 eps)))>
Calls

30 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
(* x (+ (* -1/2 eps) (* -1/2 x)))
3.0ms
x
@-inf
(* x (+ (* -1/2 eps) (* -1/2 x)))
1.0ms
x
@inf
(* -1/2 (* eps x))
1.0ms
eps
@0
(* -1/2 (* eps x))
1.0ms
eps
@inf
(* -1/2 (* eps x))

rewrite174.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1266×log1p-expm1-u
420×associate-*r*
272×associate-*l*
183×expm1-log1p-u
182×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026153
1398145
25930145
Stop Event
1×node limit
Counts
5 → 118
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 1))
(-.f64 (fma.f64 (*.f64 eps -1/2) x 1) 1)
(pow.f64 (*.f64 x (*.f64 eps -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) eps) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 eps -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) -1/8)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps -1/2))) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 eps -1/2))))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 1))
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 eps (+.f64 1 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))) (-.f64 1 (*.f64 x (*.f64 eps -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8)) eps) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2)) eps) (-.f64 1 (*.f64 x (*.f64 eps -1/2))))
(pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 eps -1/2) x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 (*.f64 eps -1/2) x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) x 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 1))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 x (*.f64 eps -1/2)))
(-.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8) (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (-.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) -1/8))) (+.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 eps -1/2)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (*.f64 -1/2 (-.f64 eps x)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) -1/8)) x) (+.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 eps -1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) x) (*.f64 -1/2 (-.f64 eps x)))
(pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (+.f64 eps x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 1))
(fma.f64 x (*.f64 eps -1/2) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 eps x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 eps x) -1/2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 eps -1/2) x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 1))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2) (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2))) (-.f64 1 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3)) eps) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2) (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2)) eps) (-.f64 1 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 1))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))

simplify149.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1036×cancel-sign-sub-inv
948×distribute-lft-in
896×fma-neg
882×distribute-rgt-in
646×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03958535
110227867
232437426
Stop Event
1×node limit
Counts
200 → 234
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
eps
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (/.f64 1 eps)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (/.f64 eps x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 1 eps))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x)) (/.f64 eps (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x)) (/.f64 eps (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2))) x)) (*.f64 -1/2 eps)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/2 (pow.f64 eps 2))) x)) (*.f64 -1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 1))
(-.f64 (fma.f64 (*.f64 eps -1/2) x 1) 1)
(pow.f64 (*.f64 x (*.f64 eps -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) eps) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 eps -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) -1/8)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps -1/2))) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 eps -1/2))))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 1))
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 eps (+.f64 1 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8))) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))) (-.f64 1 (*.f64 x (*.f64 eps -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8)) eps) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2)) eps) (-.f64 1 (*.f64 x (*.f64 eps -1/2))))
(pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 eps -1/2) x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 (*.f64 eps -1/2) x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) x 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps -1/2) x 1))) 1))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 x (*.f64 eps -1/2)))
(-.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) -1/8) (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))) (-.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) -1/8))) (+.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 eps -1/2)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (*.f64 -1/2 (-.f64 eps x)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) -1/8)) x) (+.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 eps -1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) x) (*.f64 -1/2 (-.f64 eps x)))
(pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (+.f64 eps x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 1))
(fma.f64 x (*.f64 eps -1/2) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 eps x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 eps x) -1/2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1 (*.f64 x (*.f64 eps -1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 eps -1/2) x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 1))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2) (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2))) (-.f64 1 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 3)) eps) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2) (*.f64 x (*.f64 -1/2 (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 -1/2 (+.f64 eps x))) 2)) eps) (-.f64 1 (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 1))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (*.f64 -1/8 eps) (cos.f64 x)) (*.f64 -1/2 (sin.f64 x)))))
(fma.f64 eps (fma.f64 -1/8 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/8) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 -1/8 (cos.f64 x) (*.f64 (*.f64 1/48 eps) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 1/2)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) -1/8 (*.f64 (sin.f64 x) (*.f64 eps 1/48))) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 eps 1/2))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (neg.f64 (*.f64 x (sin.f64 (*.f64 eps 1/2)))))
(-.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (sin.f64 (*.f64 eps 1/2))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2)))))
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eps
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eps
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(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) eps))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1)) 3))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1) 3) (pow.f64 eps 3)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))))
(+.f64 0 (*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 eps x)) 1))) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (+.f64 (*.f64 x eps) (pow.f64 x 2)))))
(*.f64 eps (fma.f64 x (*.f64 -1/2 (+.f64 x eps)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1))

eval90.0ms (0.8%)

Compiler

Compiled 4203 to 2870 computations (31.7% saved)

prune38.0ms (0.3%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2331234
Fresh022
Picked145
Done033
Total23410244
Accuracy
100.0%
Counts
244 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
▶99.4%
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
✓100.0%
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
▶99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
✓98.4%
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
✓99.4%
(*.f64 eps (cos.f64 x))
✓3.8%
(*.f64 eps -1)
✓98.4%
(sin.f64 eps)
✓98.4%
eps
Compiler

Compiled 95 to 68 computations (28.4% saved)

localize726.0ms (6.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
✓99.8%
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓50.5%
(+.f64 (cos.f64 eps) -1)
✓99.8%
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
✓99.8%
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x))
Compiler

Compiled 112 to 49 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 424.0ms
Operation ival-sin, time spent: 162.0ms, 38.0% of total-time
Operation ival-mult, time spent: 123.0ms, 29.0% of total-time
Operation ival-cos, time spent: 90.0ms, 21.0% of total-time
Operation ival-add, time spent: 41.0ms, 10.0% of total-time
Operation const, time spent: 7.0ms, 2.0% of total-time

series24.0ms (0.2%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x))>
#<alt (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))>
#<alt (*.f64 x (*.f64 -1/2 (+.f64 eps x)))>
#<alt (+.f64 (cos.f64 eps) -1)>
#<alt (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))>
#<alt (*.f64 (sin.f64 eps) (cos.f64 x))>
#<alt (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))>
Outputs
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 (*.f64 eps x)))>
#<alt (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))>
#<alt (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))>
#<alt (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))>
#<alt (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))>
#<alt (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))>
#<alt (*.f64 -1/2 (*.f64 eps x))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 1/24 (*.f64 -1/720 (pow.f64 eps 2)))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 1/24 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/40320 (pow.f64 eps 2)) 1/720)))) 1/2))>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (*.f64 x (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/6 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1)))) 1))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (-.f64 (cos.f64 eps) 1)) (*.f64 1/120 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1)))))) 1))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (-.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (*.f64 1/120 (-.f64 (cos.f64 eps) 1))))))) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/24 (sin.f64 x))))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/720 (sin.f64 x)) (*.f64 1/40320 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/120 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/120 (cos.f64 x))))))))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/24 (*.f64 (pow.f64 x 2) (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 1/24 (sin.f64 eps)))))))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (-.f64 (cos.f64 eps) 1)))))) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (sin eps) (cos x))
1.0ms
x
@inf
(* eps (* x (* -1/2 (+ eps x))))
1.0ms
x
@inf
(* (sin eps) (cos x))
1.0ms
x
@inf
(* (sin x) (+ (cos eps) -1))
1.0ms
x
@0
(* (sin x) (+ (cos eps) -1))

rewrite199.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1236×log1p-expm1-u
418×associate-*r*
258×associate-*l*
193×expm1-log1p-u
192×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025208
1406189
26054189
Stop Event
1×node limit
Counts
7 → 188
Calls
Call 1
Inputs
(+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2)))))
(*.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)) 1)
(*.f64 1 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 x (*.f64 eps -1/2)) (-.f64 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2)) (/.f64 1 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 x (*.f64 eps -1/2)) (-.f64 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2))) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 x (*.f64 eps -1/2)) (-.f64 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2)) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 x (*.f64 eps -1/2)) (-.f64 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps -1/2)) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x)))
(pow.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 eps -1/2) (cos.f64 x))) 1))
(fma.f64 x (*.f64 eps -1/2) (cos.f64 x))
(fma.f64 eps (*.f64 x -1/2) (cos.f64 x))
(fma.f64 (*.f64 eps -1/2) x (cos.f64 x))
(fma.f64 1 (cos.f64 x) (*.f64 x (*.f64 eps -1/2)))
(fma.f64 1 (*.f64 x (*.f64 eps -1/2)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps -1/2))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (sqrt.f64 (*.f64 x (*.f64 eps -1/2))) (cos.f64 x))
(+.f64 (*.f64 (*.f64 x eps) (*.f64 eps -1/2)) (*.f64 (*.f64 x eps) (*.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x eps)) (*.f64 (*.f64 x -1/2) (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))))) 1)
(pow.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (+.f64 x eps) (*.f64 x -1/2)))) 1))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 eps -1/2)) (*.f64 (*.f64 x -1/2) x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 eps -1/2)))
(+.f64 (*.f64 (*.f64 x -1/2) x) (*.f64 x (*.f64 eps -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)))) 1)
(/.f64 (*.f64 (*.f64 x -1/2) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (*.f64 (*.f64 x -1/2) (-.f64 (pow.f64 eps 2) (pow.f64 x 2))) (-.f64 eps x))
(pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (+.f64 x eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (+.f64 x eps)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x eps) (*.f64 x -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))) -2)
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 1)
(*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (/.f64 1 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))

simplify196.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
938×associate-*r*
858×times-frac
852×fma-neg
804×fma-define
776×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061613995
1167513528
2559313510
Stop Event
1×node limit
Counts
344 → 353
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (*.f64 eps x)))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) x))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 x) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 1/24 (*.f64 -1/720 (pow.f64 eps 2)))) 1/2))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 2) (+.f64 1/24 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/40320 (pow.f64 eps 2)) 1/720)))) 1/2))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 x (-.f64 (cos.f64 eps) 1))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/6 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1)))) 1))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (-.f64 (cos.f64 eps) 1)) (*.f64 1/120 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1)))))) 1))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (-.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 2) (-.f64 (cos.f64 eps) 1))) (*.f64 1/120 (-.f64 (cos.f64 eps) 1))))))) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))) -2)
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 1)
(*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (/.f64 1 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Outputs
1
(+.f64 1 (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps x) 1)
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x))))
(+.f64 1 (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(fma.f64 -1/2 (*.f64 x (+.f64 eps x)) 1)
(+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)))))
(+.f64 1 (*.f64 x (fma.f64 -1/2 eps (*.f64 x (fma.f64 1/24 (pow.f64 x 2) -1/2)))))
(fma.f64 x (fma.f64 x (fma.f64 1/24 (pow.f64 x 2) -1/2) (*.f64 -1/2 eps)) 1)
(*.f64 -1/2 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(*.f64 x (+.f64 (*.f64 -1/2 eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) x)) (*.f64 1/2 eps))))
(*.f64 x (fma.f64 -1/2 eps (/.f64 (cos.f64 x) x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 x (*.f64 -1/2 eps) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 x (*.f64 -1/2 eps) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 x (*.f64 -1/2 eps) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps x) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 -1/2 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) eps)) (*.f64 1/2 x))))
(*.f64 eps (fma.f64 -1/2 x (/.f64 (cos.f64 x) eps)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 x) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(*.f64 (pow.f64 eps 2) (*.f64 -1/2 (+.f64 x (/.f64 (pow.f64 x 2) eps))))
(*.f64 -1/2 (*.f64 (+.f64 x (/.f64 (pow.f64 x 2) eps)) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x))))
(*.f64 -1/2 (*.f64 (*.f64 eps (+.f64 eps x)) x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
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(*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 eps (/.f64 (pow.f64 eps 2) x))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)))))
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3) 1/3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 2)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) 3))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))

eval121.0ms (1.1%)

Compiler

Compiled 6828 to 3338 computations (51.1% saved)

prune62.0ms (0.6%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New3530353
Fresh000
Picked033
Done077
Total35310363
Accuracy
100.0%
Counts
363 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.8%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓99.4%
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
✓100.0%
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
✓99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
✓98.4%
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
✓99.4%
(*.f64 eps (cos.f64 x))
✓3.8%
(*.f64 eps -1)
✓98.4%
(sin.f64 eps)
✓98.4%
eps
Compiler

Compiled 229 to 152 computations (33.6% saved)

regimes26.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps -1)
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
Calls

3 calls:

10.0ms
eps
8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps -1)
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
Calls

3 calls:

8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps -1)
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
Calls

3 calls:

6.0ms
x
6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
eps
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps -1)
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 -1/2 x)))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
Outputs
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
Calls

2 calls:

7.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -60.6b remaining (-5848.7%)

Threshold costs -60.6b (-5848.7%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-commutative
16×+-commutative
8×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035190
157190
269190
375190
479190
580190
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
eps
Outputs
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 x (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))) eps)
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 -1/2 (+.f64 eps x)))))
eps
Compiler

Compiled 58 to 41 computations (29.3% saved)

soundness610.0ms (5.4%)

Rules
1266×log1p-expm1-u
1082×unsub-neg
978×log1p-expm1-u
978×expm1-log1p-u
922×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03858544
19518544
026153
1398145
25930145
03838992
18678632
224398236
368938236
01247
116047
2246047
Stop Event
1×node limit
1×node limit
1×node limit
1×unsound
Compiler

Compiled 584 to 377 computations (35.4% saved)

end0.0ms (0%)

preprocess144.0ms (1.3%)

Compiler

Compiled 148 to 100 computations (32.4% saved)

Profiling

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