2cos (problem 3.3.5)

Time bar (total: 20.2s)

analyze59.0ms (0.3%)

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: 33.0ms
Operation ival-cos, time spent: 10.0ms, 30.0% of total-time
Operation ival-<=, time spent: 6.0ms, 18.0% of total-time
Operation ival-mult, time spent: 4.0ms, 12.0% of total-time
Operation ival-<, time spent: 4.0ms, 12.0% of total-time
Operation ival-add, time spent: 3.0ms, 9.0% of total-time
Operation ival-fabs, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time
Operation ival-and, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample12.2s (60.3%)

Results
5.1s25796×256precondition
4.4s4136×2048valid
1.2s2147×1024valid
339.0ms1058×512valid
195.0ms914×256valid
1.0ms1×2048valid
Precisions
Click to see histograms. Total time spent on operations: 7.5s
Operation ival-cos, time spent: 3.7s, 49.0% of total-time
Operation ival-<, time spent: 890.0ms, 12.0% of total-time
Operation ival-mult, time spent: 842.0ms, 11.0% of total-time
Operation ival-<=, time spent: 600.0ms, 8.0% of total-time
Operation ival-sub, time spent: 443.0ms, 6.0% of total-time
Operation ival-add, time spent: 427.0ms, 6.0% of total-time
Operation ival-and, time spent: 264.0ms, 4.0% of total-time
Operation ival-fabs, time spent: 250.0ms, 3.0% of total-time
Operation const, time spent: 111.0ms, 1.0% of total-time
Bogosity

preprocess383.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
316×fma-neg
182×fma-define
108×sub-neg
82×associate--r+
72×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10-0-(cos.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-eps
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027234
149218
296210
3184210
4349210
5486210
6636210
7761210
8795210
9821210
10827210
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
Operation ival-cos, time spent: 160.0ms, 83.0% of total-time
Operation ival-add, time spent: 19.0ms, 10.0% of total-time
Operation ival-sub, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 2.0% 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
▶51.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize147.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(cos.f64 (+.f64 x eps))
✓51.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
Operation ival-cos, time spent: 78.0ms, 81.0% of total-time
Operation ival-add, time spent: 11.0ms, 11.0% of total-time
Operation ival-sub, time spent: 7.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series7.0ms (0%)

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

12 calls:

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

rewrite247.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
908×fma-define
802×log-prod
470×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116147
2245847
Stop Event
1×node limit
Counts
2 → 163
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(log.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (neg.f64 (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))

simplify201.0ms (1%)

Algorithm
1×egg-herbie
Rules
1088×unsub-neg
764×sub-neg
708×fma-neg
638×div-sub
564×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03979968
18689448
222679010
367429010
Stop Event
1×node limit
Counts
211 → 258
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (sin.f64 eps)))) 1)
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(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 x) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 (neg.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 x (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (neg.f64 (sin.f64 eps)))) 1))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps)) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (sin.f64 (neg.f64 eps))) -1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 1/2 (+.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/6 (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 x (+.f64 1/2 (fma.f64 -1/2 (cos.f64 eps) (*.f64 (*.f64 x (sin.f64 eps)) 1/6))) (neg.f64 (sin.f64 eps)))) 1))
(+.f64 -1 (fma.f64 x (fma.f64 x (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (*.f64 x 1/6))) (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x (*.f64 (sin.f64 eps) 1/6))) (neg.f64 (sin.f64 eps))) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x (*.f64 (sin.f64 eps) 1/6))) (sin.f64 (neg.f64 eps))) -1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 1/6 eps) (sin.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 -1/2 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps 1/6))) (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 -1/2 (cos.f64 x) (*.f64 eps (fma.f64 1/24 (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) -1/6))))) (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) 1/24 (*.f64 1/6 (sin.f64 x))) (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) 1/24) (*.f64 1/6 (sin.f64 x))) (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 eps))) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (fma.f64 -1/2 (*.f64 (cos.f64 eps) x) (neg.f64 (sin.f64 eps)))))
(fma.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x -1/2)) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/6 (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 eps) (*.f64 (*.f64 x (sin.f64 eps)) 1/6))) (sin.f64 eps))))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 (*.f64 (sin.f64 eps) (*.f64 x 1/6)))) (sin.f64 eps)) (cos.f64 eps))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 (*.f64 x (*.f64 (sin.f64 eps) 1/6)))) (sin.f64 eps)) (cos.f64 eps))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
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(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))

eval66.0ms (0.3%)

Compiler

Compiled 4693 to 1395 computations (70.3% saved)

prune49.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2517258
Fresh000
Picked011
Done000
Total2518259
Accuracy
99.8%
Counts
259 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶51.0%
(-.f64 (cos.f64 eps) 1)
▶79.6%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
99.7%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
▶80.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
▶99.7%
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
▶99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
Compiler

Compiled 229 to 160 computations (30.1% saved)

localize2.1s (10.5%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.8%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓61.3%
(+.f64 x (-.f64 eps x))
✓100.0%
(*.f64 (*.f64 -1/2 eps) (cos.f64 x))
✓100.0%
(-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))
✓99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
✓100.0%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓52.5%
(-.f64 (cos.f64 eps) 1)
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
✓99.7%
(-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))
✓99.5%
(*.f64 -1/6 (sin.f64 x))
✓99.5%
(*.f64 1/24 (*.f64 eps (cos.f64 x)))
Compiler

Compiled 281 to 125 computations (55.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
Operation ival-mult, time spent: 624.0ms, 40.0% of total-time
Operation ival-sin, time spent: 567.0ms, 37.0% of total-time
Operation ival-cos, time spent: 181.0ms, 12.0% of total-time
Operation ival-add, time spent: 101.0ms, 7.0% of total-time
Operation ival-sub, time spent: 56.0ms, 4.0% of total-time
Operation const, time spent: 20.0ms, 1.0% of total-time
Operation ival-neg, time spent: 4.0ms, 0.0% of total-time

series47.0ms (0.2%)

Counts
13 → 233
Calls
Call 1
Inputs
#<alt (*.f64 1/24 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (sin.f64 x))>
#<alt (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (cos.f64 eps) 1)>
#<alt (*.f64 (sin.f64 x) (neg.f64 eps))>
#<alt (*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (*.f64 -1/2 eps) (cos.f64 x))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)>
Outputs
#<alt (*.f64 1/24 eps)>
#<alt (+.f64 (*.f64 -1/48 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))>
#<alt (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 1/576 (*.f64 eps (pow.f64 x 2))))))>
#<alt (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/17280 (*.f64 eps (pow.f64 x 2))) (*.f64 1/576 eps))))))>
#<alt (*.f64 -1/6 x)>
#<alt (*.f64 x (-.f64 (*.f64 1/36 (pow.f64 x 2)) 1/6))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/36 (*.f64 -1/720 (pow.f64 x 2)))) 1/6))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/36 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/30240 (pow.f64 x 2)) 1/720)))) 1/6))>
#<alt (*.f64 1/6 (sin.f64 x))>
#<alt (*.f64 1/24 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 1/24 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))>
#<alt (*.f64 1/24 eps)>
#<alt (+.f64 (*.f64 1/24 eps) (*.f64 1/6 x))>
#<alt (+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/6 (*.f64 -1/48 (*.f64 eps x)))))>
#<alt (+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/6 (*.f64 x (+.f64 (*.f64 -1/36 x) (*.f64 -1/48 eps))))))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 1/6 (sin.f64 x))))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 3))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 1/2 (/.f64 (cos.f64 x) eps))) eps)) (*.f64 1/24 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/6 (sin.f64 x))) eps)) (*.f64 1/24 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))>
#<alt (+.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)) (*.f64 (pow.f64 eps 2) (*.f64 x (+.f64 1/4 (*.f64 -1/48 (pow.f64 eps 2))))))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)) (*.f64 x (+.f64 (*.f64 eps (*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 eps 2))))) (*.f64 (pow.f64 eps 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 eps 2)))))))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))>
#<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 -1 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 1/6 (*.f64 eps (pow.f64 x 2)))))>
#<alt (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 2))) (*.f64 1/6 eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120 eps) (*.f64 1/5040 (*.f64 eps (pow.f64 x 2)))))))))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 -1 (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 -1/2 eps)>
#<alt (+.f64 (*.f64 -1 x) (*.f64 -1/2 eps))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1)))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 eps)>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 1/4 (*.f64 eps (pow.f64 x 2))))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 (*.f64 eps (pow.f64 x 2))) (*.f64 1/4 eps))))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/4 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 1/1440 (*.f64 eps (pow.f64 x 2))))))))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)>
#<alt (+.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/6 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))))>
#<alt (*.f64 1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (+.f64 (*.f64 -1/48 (sin.f64 x)) (*.f64 -1/48 (*.f64 eps (cos.f64 x))))))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/8 (sin.f64 x)) (*.f64 -1/48 (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (sin.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))>
#<alt (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))))>
#<alt (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/6 (*.f64 x (cos.f64 (*.f64 1/2 eps)))))))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))>
#<alt (+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))>
#<alt (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))>
#<alt (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 1/3 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -2 (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (*.f64 -1/2 (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -2 (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/24 (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))>
#<alt (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(* (sin (* (+ x (- eps x)) 1/2)) (sin (* (+ eps (+ x x)) 1/2)))
2.0ms
x
@0
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
2.0ms
eps
@inf
(- (cos eps) 1)
2.0ms
eps
@inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
1.0ms
x
@inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))

rewrite135.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
370×log1p-expm1-u
370×expm1-log1p-u
365×add-cube-cbrt
362×add-exp-log
362×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044504
1779484
Stop Event
1×node limit
Counts
13 → 250
Calls
Call 1
Inputs
(*.f64 1/24 (*.f64 eps (cos.f64 x)))
(*.f64 -1/6 (sin.f64 x))
(-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 -1/2 eps) (cos.f64 x))
(+.f64 x (-.f64 eps x))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))))) 1)
(pow.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (sin.f64 x)))) 1)
(pow.f64 (*.f64 -1/6 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (sin.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 -1/6) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 -1/6 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (sin.f64 x))) 1))
(+.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (neg.f64 (*.f64 -1/6 (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 1/6 (sin.f64 x)))
(+.f64 (fma.f64 1/24 (*.f64 eps (cos.f64 x)) (*.f64 1/6 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) -1/6 (*.f64 -1/6 (sin.f64 x))))
(+.f64 (fma.f64 1/24 (*.f64 eps (cos.f64 x)) (*.f64 1/6 (sin.f64 x))) (fma.f64 1/6 (sin.f64 x) (*.f64 -1/6 (sin.f64 x))))
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(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 1))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) 1)
(*.f64 1 (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 2) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x (-.f64 eps x)))))
(pow.f64 (+.f64 x (-.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) 2)
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) 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 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 1/2 (fma.f64 2 x eps)))) (cos.f64 (fma.f64 (+.f64 x (-.f64 eps x)) 1/2 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (+.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))

simplify259.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1420×fma-define
1192×associate-*r*
992×associate-*l*
902×fma-neg
610×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089020026
1230018830
2732018830
Stop Event
1×node limit
Counts
483 → 504
Calls
Call 1
Inputs
(*.f64 1/24 eps)
(+.f64 (*.f64 -1/48 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))
(+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 1/576 (*.f64 eps (pow.f64 x 2))))))
(+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/17280 (*.f64 eps (pow.f64 x 2))) (*.f64 1/576 eps))))))
(*.f64 -1/6 x)
(*.f64 x (-.f64 (*.f64 1/36 (pow.f64 x 2)) 1/6))
(*.f64 x (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/36 (*.f64 -1/720 (pow.f64 x 2)))) 1/6))
(*.f64 x (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/36 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/30240 (pow.f64 x 2)) 1/720)))) 1/6))
(*.f64 1/6 (sin.f64 x))
(*.f64 1/24 (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))
(*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))
(*.f64 eps (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))
(*.f64 1/24 (*.f64 eps (cos.f64 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) eps)) (*.f64 -1/24 (cos.f64 x)))))
(*.f64 1/24 eps)
(+.f64 (*.f64 1/24 eps) (*.f64 1/6 x))
(+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/6 (*.f64 -1/48 (*.f64 eps x)))))
(+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/6 (*.f64 x (+.f64 (*.f64 -1/36 x) (*.f64 -1/48 eps))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 1/6 (sin.f64 x))))))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))
(*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 1/6 (/.f64 (sin.f64 x) eps))))
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(pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/13824))
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(log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1))
(+.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 1))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) 1)
(*.f64 1 (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 2) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x (-.f64 eps x)))))
(pow.f64 (+.f64 x (-.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) 2)
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) 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 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 1/2 (fma.f64 2 x eps)))) (cos.f64 (fma.f64 (+.f64 x (-.f64 eps x)) 1/2 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (+.f64 (*.f64 1/2 (fma.f64 2 x eps)) (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
Outputs
(*.f64 1/24 eps)
(+.f64 (*.f64 -1/48 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))
(fma.f64 -1/48 (*.f64 eps (pow.f64 x 2)) (*.f64 1/24 eps))
(fma.f64 1/24 eps (*.f64 eps (*.f64 (pow.f64 x 2) -1/48)))
(+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/48 eps) (*.f64 1/576 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 1/24 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/48 eps (*.f64 (*.f64 eps (pow.f64 x 2)) 1/576))))
(fma.f64 (pow.f64 x 2) (fma.f64 (*.f64 eps 1/576) (pow.f64 x 2) (*.f64 eps -1/48)) (*.f64 1/24 eps))
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(+.f64 eps (-.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 eps x)))))
(+.f64 x (-.f64 eps x))
(+.f64 eps (-.f64 x x))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3))
(+.f64 x (-.f64 eps x))
(+.f64 eps (-.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(expm1.f64 (log1p.f64 (+.f64 eps (-.f64 x x))))
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(fma.f64 1 x (-.f64 eps x))
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(fma.f64 1 (-.f64 eps x) x)
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
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(+.f64 eps (-.f64 x x))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3)))
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(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
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(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 eps 1/2 x))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 eps 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 1))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (fma.f64 eps 1/2 x))))

eval195.0ms (1%)

Compiler

Compiled 11302 to 6594 computations (41.7% saved)

prune95.0ms (0.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New49113504
Fresh202
Picked325
Done011
Total49616512
Accuracy
100.0%
Counts
512 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 eps 2) 1/4) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
70.5%
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
99.0%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
✓51.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.4%
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))
98.7%
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
▶99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓80.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
▶80.2%
(*.f64 x (neg.f64 eps))
▶43.5%
(*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
▶99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
99.1%
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
▶99.4%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
99.1%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
99.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
Compiler

Compiled 459 to 326 computations (29% saved)

localize561.0ms (2.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))
✓99.9%
(sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
✓99.9%
(*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))
✓99.7%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
100.0%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓99.9%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
✓99.9%
(*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps)))
✓99.9%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
✓99.8%
(+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))
✓99.7%
(*.f64 1/6 x)
✓100.0%
(-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x))
✓99.9%
(*.f64 eps (*.f64 1/6 (sin.f64 x)))
✓99.9%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
✓99.7%
(*.f64 1/6 (sin.f64 x))
Compiler

Compiled 306 to 172 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 371.0ms
Operation ival-mult, time spent: 246.0ms, 66.0% of total-time
Operation ival-pow, time spent: 42.0ms, 11.0% of total-time
Operation ival-add, time spent: 22.0ms, 6.0% of total-time
Operation ival-sin, time spent: 21.0ms, 6.0% of total-time
Operation ival-sub, time spent: 16.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 3.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Operation ival-cos, time spent: 4.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series51.0ms (0.3%)

Counts
14 → 283
Calls
Call 1
Inputs
#<alt (*.f64 1/6 (sin.f64 x))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (*.f64 1/6 (sin.f64 x)))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x))>
#<alt (*.f64 1/6 x)>
#<alt (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))>
#<alt (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps)))>
#<alt (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)>
#<alt (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)>
#<alt (*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))>
#<alt (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))>
Outputs
#<alt (*.f64 1/6 x)>
#<alt (*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/36))))>
#<alt (*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/720 (*.f64 -1/30240 (pow.f64 x 2)))) 1/36))))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))>
#<alt (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 1/2 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/6 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/6 (sin.f64 x)))))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1))))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)))))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)) (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 eps 2))))))))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/36 (*.f64 eps (pow.f64 x 2))) (*.f64 1/6 eps)))>
#<alt (*.f64 x (+.f64 (*.f64 1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/36 eps) (*.f64 1/720 (*.f64 eps (pow.f64 x 2)))))))>
#<alt (*.f64 x (+.f64 (*.f64 1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/36 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/30240 (*.f64 eps (pow.f64 x 2))) (*.f64 1/720 eps)))))))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/6 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (*.f64 1/6 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))>
#<alt (*.f64 1/6 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 1/6 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 1/6 (sin.f64 x))))>
#<alt (*.f64 -1/2 eps)>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 eps x))) 1)))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/4 eps) (*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 eps 2))))))) 1)))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (*.f64 1/4 eps)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 x (+.f64 1/6 (*.f64 1/4 (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 1/6 (*.f64 1/4 (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 1/6 (*.f64 1/4 (/.f64 eps x))))>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1/4 (/.f64 eps x)) 1/6)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1/4 (/.f64 eps x)) 1/6)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1/4 (/.f64 eps x)) 1/6)))>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/4 eps)>
#<alt (*.f64 eps (+.f64 1/4 (*.f64 1/6 (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 1/4 (*.f64 1/6 (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 1/4 (*.f64 1/6 (/.f64 x eps))))>
#<alt (*.f64 1/4 eps)>
#<alt (*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1/6 (/.f64 x eps)) 1/4)))>
#<alt (*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1/6 (/.f64 x eps)) 1/4)))>
#<alt (*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1/6 (/.f64 x eps)) 1/4)))>
#<alt (*.f64 eps (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1))))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) 1/2))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))>
#<alt (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))>
#<alt (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/6 eps) (*.f64 1/4 (/.f64 (pow.f64 eps 2) x))))>
#<alt (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (/.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 1/6 eps) (*.f64 1/4 (/.f64 (pow.f64 eps 2) x)))))>
#<alt (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (/.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/6 eps) (*.f64 1/4 (/.f64 (pow.f64 eps 2) x))))))>
#<alt (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 eps))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))) x)) (*.f64 -1/6 eps))))>
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#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 -1/2)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 -1/2))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 -1/2)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sqrt.f64 -1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 -1/2)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 -1/2)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sqrt.f64 -1/2) 3)))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 5)))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sqrt.f64 -1/2) 5)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 -1/2))))))>
#<alt (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 -1)) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 -1)) (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 -1)) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 -1)) (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 -1)) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 5)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (sqrt.f64 -1)) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))))))>
#<alt (*.f64 -1/2 eps)>
#<alt (+.f64 (*.f64 -1 x) (*.f64 -1/2 eps))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1)))>
#<alt (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 -1 (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))))>
#<alt (*.f64 -1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
Calls

78 calls:

TimeVariablePointExpression
6.0ms
eps
@-inf
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
2.0ms
eps
@-inf
(sqrt (- (* (cos x) (* eps -1/2)) (sin x)))
1.0ms
eps
@inf
(sqrt (- (* (cos x) (* eps -1/2)) (sin x)))
1.0ms
x
@-inf
(pow (sqrt (- (* (cos x) (* eps -1/2)) (sin x))) 2)
1.0ms
x
@inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (* 1/6 (sin x))))) (sin x)))

rewrite138.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
370×log1p-expm1-u
370×expm1-log1p-u
364×add-cube-cbrt
360×add-exp-log
360×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047547
1818539
Stop Event
1×node limit
Counts
14 → 279
Calls
Call 1
Inputs
(*.f64 1/6 (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (*.f64 1/6 (sin.f64 x)))
(-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
(*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sin.f64 x)))) 1)
(pow.f64 (*.f64 1/6 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/6 (sin.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 1/6 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x)))) 1)
(pow.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps 1/6) (sin.f64 x))) 1))
(+.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))) eps (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))) eps (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 1 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
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(exp.f64 (log.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 1/6 (sin.f64 x)) eps (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) 1))
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(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
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(fma.f64 x 1/6 (*.f64 eps 1/4))
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(fma.f64 1/4 eps (*.f64 1/6 x))
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(fma.f64 (*.f64 1/2 (sqrt.f64 eps)) (*.f64 1/2 (sqrt.f64 eps)) (*.f64 1/6 x))
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(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) (*.f64 eps -1/2)))) 2)
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(fma.f64 (*.f64 eps -1/2) eps (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (*.f64 eps 1/4)))
(+.f64 (*.f64 (*.f64 1/6 x) x) (*.f64 (*.f64 eps 1/4) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4))))) 1)
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(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))) 2)
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/6 x (*.f64 eps 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)))) 1))
(fma.f64 x (*.f64 1/6 x) (*.f64 x (*.f64 eps 1/4)))
(fma.f64 (*.f64 1/6 x) x (*.f64 (*.f64 eps 1/4) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
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(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) -2)))
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(-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1)
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(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1)
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1/2))
(+.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) -1/8) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (sin.f64 x)))

simplify438.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1596×fma-define
1504×associate-*r*
1272×associate-*l*
700×distribute-rgt-in
700×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102527793
1273827052
Stop Event
1×node limit
Counts
562 → 559
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/720 (*.f64 -1/30240 (pow.f64 x 2)))) 1/36))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) eps)) (*.f64 1/6 (sin.f64 x)))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 1/2 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/6 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/6 (sin.f64 x)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1)) (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 eps 2))))))))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps (sin.f64 x)))
(*.f64 1/6 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/36 (*.f64 eps (pow.f64 x 2))) (*.f64 1/6 eps)))
(*.f64 x (+.f64 (*.f64 1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/36 eps) (*.f64 1/720 (*.f64 eps (pow.f64 x 2)))))))
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(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1)
(*.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) -1/8) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1)
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1/2))
(+.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (sin.f64 x) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (*.f64 (sin.f64 x) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 1 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (*.f64 eps -1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) -1/8) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) 2) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (sin.f64 x)))
Outputs
(*.f64 1/6 x)
(*.f64 x (+.f64 1/6 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (fma.f64 -1/36 (pow.f64 x 2) 1/6))
(*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/720 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 1/6 (*.f64 (pow.f64 x 2) (fma.f64 1/720 (pow.f64 x 2) -1/36))))
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(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)) 3/2)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 1))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (*.f64 eps -1/2) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (*.f64 eps -1/2) (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) eps) -1/2 (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))

eval315.0ms (1.6%)

Compiler

Compiled 13479 to 8696 computations (35.5% saved)

prune229.0ms (1.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New5965601
Fresh538
Picked145
Done033
Total60215617
Accuracy
100.0%
Counts
617 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
▶99.0%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
✓51.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶99.4%
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
98.7%
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
▶99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓80.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓80.2%
(*.f64 x (neg.f64 eps))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
▶99.1%
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
✓99.4%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
99.1%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
99.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
Compiler

Compiled 369 to 257 computations (30.4% saved)

localize571.0ms (2.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
✓100.0%
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)
✓100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.9%
(*.f64 (pow.f64 eps 2) (*.f64 x 1/4))
✓100.0%
(*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))
✓100.0%
(*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps)
✓99.8%
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
✓99.5%
(fma.f64 1/6 x (*.f64 eps 1/4))
✓100.0%
(*.f64 -1/2 (pow.f64 eps 2))
✓99.8%
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
✓100.0%
(*.f64 eps (sin.f64 x))
✓100.0%
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))
✓99.8%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))
Compiler

Compiled 282 to 165 computations (41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 303.0ms
Operation ival-mult, time spent: 177.0ms, 58.0% of total-time
Operation composed, time spent: 37.0ms, 12.0% of total-time
Operation ival-pow, time spent: 31.0ms, 10.0% of total-time
Operation ival-add, time spent: 26.0ms, 9.0% of total-time
Operation ival-sin, time spent: 13.0ms, 4.0% of total-time
Operation const, time spent: 10.0ms, 3.0% of total-time
Operation ival-sub, time spent: 7.0ms, 2.0% of total-time
Operation ival-cos, time spent: 3.0ms, 1.0% of total-time

series43.0ms (0.2%)

Counts
15 → 282
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)>
#<alt (*.f64 eps (-.f64 (*.f64 eps -1/2) x))>
#<alt (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (fma.f64 1/6 x (*.f64 eps 1/4))>
#<alt (+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))>
#<alt (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps)>
#<alt (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))>
#<alt (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)>
#<alt (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))>
Outputs
#<alt (*.f64 1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (+.f64 (*.f64 -1/48 (sin.f64 x)) (*.f64 -1/96 (*.f64 eps (cos.f64 x))))))))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (pow.f64 eps 2)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (pow.f64 eps 2)))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) eps)) (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) eps)) (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))>
#<alt (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 eps))))>
#<alt (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 1 (*.f64 -1/8 (pow.f64 eps 2))))))>
#<alt (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 x (sin.f64 (*.f64 1/2 eps))))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 1 (*.f64 -1/8 (pow.f64 eps 2)))))))>
#<alt (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 -1/4 (*.f64 eps (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/48 (pow.f64 eps 2)) 1/6))))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 1 (*.f64 -1/8 (pow.f64 eps 2)))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))>
#<alt (*.f64 1/2 eps)>
#<alt (+.f64 (*.f64 1/2 eps) (*.f64 x (+.f64 1 (*.f64 -1/8 (pow.f64 eps 2)))))>
#<alt (+.f64 (*.f64 1/2 eps) (*.f64 x (+.f64 1 (+.f64 (*.f64 -1/4 (*.f64 eps x)) (*.f64 -1/8 (pow.f64 eps 2))))))>
#<alt (+.f64 (*.f64 1/2 eps) (*.f64 x (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/4 eps) (*.f64 x (-.f64 (*.f64 1/48 (pow.f64 eps 2)) 1/6))))))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (sin.f64 x)) (*.f64 1/2 (/.f64 (cos.f64 x) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (sin.f64 x)) (+.f64 (*.f64 1/2 (/.f64 (cos.f64 x) eps)) (/.f64 (sin.f64 x) (pow.f64 eps 2)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (sin.f64 x)) (+.f64 (*.f64 1/2 (/.f64 (cos.f64 x) eps)) (/.f64 (sin.f64 x) (pow.f64 eps 2)))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (sin.f64 x)) (*.f64 1/2 (/.f64 (cos.f64 x) eps))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/8 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) eps)) (*.f64 -1/2 (cos.f64 x))) eps)) (*.f64 -1/8 (sin.f64 x))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 -1/6 (*.f64 eps (pow.f64 x 2)))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 eps) (*.f64 1/120 (*.f64 eps (pow.f64 x 2)))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 2))) (*.f64 1/120 eps)))))))>
#<alt (*.f64 -1 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -2 (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (*.f64 -1/2 (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -2 (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/48 (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (*.f64 1/4 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))>
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#<alt (+.f64 (*.f64 1/4 (*.f64 eps (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)))>
#<alt (+.f64 (*.f64 1/4 (*.f64 eps (pow.f64 x 2))) (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)))>
#<alt (*.f64 1/4 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 2)) (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)))>
#<alt (*.f64 1/4 (*.f64 eps (pow.f64 x 2)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) (*.f64 -1/4 (pow.f64 x 2)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) (*.f64 -1/4 (pow.f64 x 2)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) eps)) (*.f64 -1/4 (pow.f64 x 2)))))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 -1 eps)>
#<alt (*.f64 eps (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))>
#<alt (*.f64 eps (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))>
#<alt (*.f64 eps (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 x) (/.f64 1 eps)))>
#<alt (*.f64 -1 eps)>
#<alt (-.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)) eps)>
#<alt (-.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)) eps)>
#<alt (-.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)) eps)>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 x (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) x))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 eps x))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 eps x))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (/.f64 eps x))))>
#<alt (*.f64 -1/2 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 1/4 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 eps 2))) (/.f64 eps x)))>
#<alt (*.f64 (pow.f64 x 2) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 eps 2))) (/.f64 eps x)))>
#<alt (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 eps (*.f64 1/2 (/.f64 (pow.f64 eps 2) x))) x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 eps (*.f64 1/2 (/.f64 (pow.f64 eps 2) x))) x)) (*.f64 1/4 (pow.f64 eps 2))))>
#<alt (*.f64 -1 (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/4 (pow.f64 x 2))) 1/2))>
Calls

84 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(* (* (sin (* eps 1/2)) (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))) -2)
1.0ms
eps
@0
(* (* x (+ (* x (+ (* 1/6 x) (* eps 1/4))) -1)) eps)
1.0ms
x
@inf
(* (sin (* eps 1/2)) (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))))
1.0ms
x
@-inf
(* (sin (* eps 1/2)) (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))))
1.0ms
eps
@-inf
(* (sin (* eps 1/2)) (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))))

rewrite163.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
357×log1p-expm1-u
357×expm1-log1p-u
352×add-cube-cbrt
348×add-exp-log
348×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047631
1756615
Stop Event
1×node limit
Counts
15 → 286
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))
(*.f64 eps (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 -1/2 (pow.f64 eps 2))
(fma.f64 1/6 x (*.f64 eps 1/4))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps)
(*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))
(*.f64 (pow.f64 eps 2) (*.f64 x 1/4))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(+.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))) (*.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (sin.f64 (*.f64 eps 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(fma.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 x) (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))))
(fma.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2)) (*.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (sin.f64 (*.f64 eps 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(*.f64 1 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) (sqrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) 2)) (-.f64 (sin.f64 x) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) 2) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))))))
(pow.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 2)
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1))
(fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(fma.f64 (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) eps (sin.f64 x))
(fma.f64 1 (sin.f64 x) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(fma.f64 1 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))))
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(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 eps -1/2) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps -1/2) x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 1))
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(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 x) eps (*.f64 eps x)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
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(+.f64 (fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(*.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2) (pow.f64 (*.f64 eps x) 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) (pow.f64 (*.f64 eps x) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))))
(pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(exp.f64 (log.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 1))
(fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 eps x)))
(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (neg.f64 x) eps))
(fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 eps x)))
(fma.f64 (pow.f64 eps 2) -1/2 (*.f64 (neg.f64 x) eps))
(fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 eps x)))
(fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (neg.f64 x) eps))
(fma.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (neg.f64 x) eps))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(+.f64 (*.f64 1/6 x) (*.f64 eps 1/4))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (*.f64 eps 1/4)))) 1)
(*.f64 1 (fma.f64 1/6 x (*.f64 eps 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 2) (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(*.f64 (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 2)
(log.f64 (exp.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (*.f64 eps 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(exp.f64 (log.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))) 1)
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
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(pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
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(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 1))
(fma.f64 eps (*.f64 eps -1/2) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) eps) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (*.f64 eps -1/2) eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 1 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 1 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 2) (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 eps -1/2))) (sqrt.f64 (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (*.f64 eps (*.f64 eps -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 1)
(pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1)
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 2)
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64) 1/3)
(pow.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (*.f64 x 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))
(+.f64 (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(*.f64 1 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 2) (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64) (pow.f64 eps 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 2) (fma.f64 eps eps (*.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))))
(pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 1))
(fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 eps))
(fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 eps))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 eps))
(fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 eps))
(fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 eps))
(+.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(*.f64 1 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(log.f64 (exp.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 1))

simplify291.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1322×fma-define
874×*-commutative
752×fma-neg
664×distribute-lft-in
660×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093826573
1247126220
2638526156
Stop Event
1×node limit
Counts
568 → 583
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (+.f64 (*.f64 -1/48 (sin.f64 x)) (*.f64 -1/96 (*.f64 eps (cos.f64 x))))))))))
(*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (pow.f64 eps 2)))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (pow.f64 eps 2)))))
(*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) eps)) (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) eps)) (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))))) eps)) (*.f64 -1/8 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 eps))))
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(fma.f64 1 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 2)
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (fma.f64 eps (fma.f64 -1/8 (*.f64 eps (sin.f64 x)) (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))) 1)
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps -1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 eps -1/2) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps -1/2) x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x))) 1))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 eps x)))
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(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 x) eps (*.f64 eps x)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(+.f64 (fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 (*.f64 eps x) 1))) (fma.f64 (neg.f64 (*.f64 eps x)) 1 (*.f64 (*.f64 eps x) 1)))
(+.f64 (fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))))
(*.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2) (pow.f64 (*.f64 eps x) 2)) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 eps x)))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) (pow.f64 (*.f64 eps x) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))))
(pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(exp.f64 (log.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 1))
(fma.f64 -1/2 (pow.f64 eps 2) (neg.f64 (*.f64 eps x)))
(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (neg.f64 x) eps))
(fma.f64 (pow.f64 eps 2) -1/2 (neg.f64 (*.f64 eps x)))
(fma.f64 (pow.f64 eps 2) -1/2 (*.f64 (neg.f64 x) eps))
(fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 eps x)))
(fma.f64 1 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (neg.f64 x) eps))
(fma.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (neg.f64 x) eps))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (sqrt.f64 (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (neg.f64 (*.f64 eps x)))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (*.f64 (neg.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(+.f64 (*.f64 1/6 x) (*.f64 eps 1/4))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (*.f64 eps 1/4)))) 1)
(*.f64 1 (fma.f64 1/6 x (*.f64 eps 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 2) (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(*.f64 (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 2)
(log.f64 (exp.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (*.f64 eps 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (*.f64 eps 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(exp.f64 (log.f64 (fma.f64 1/6 x (*.f64 eps 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (*.f64 eps 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))) 1)
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 1 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 2) (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3)) (+.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 2) (-.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 2) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))))
(pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 2)
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 1))
(fma.f64 eps (*.f64 eps -1/2) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) eps) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (*.f64 eps -1/2) eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 1 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 1 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 2) (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 eps -1/2))) (sqrt.f64 (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) (*.f64 eps (*.f64 eps -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))) 1)
(pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))) 1)
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 2)
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64) 1/3)
(pow.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (*.f64 x 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (pow.f64 eps 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 eps))
(+.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))
(+.f64 (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(+.f64 (fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 (*.f64 eps 1))) (fma.f64 (neg.f64 eps) 1 (*.f64 eps 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))
(*.f64 1 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 2) (pow.f64 eps 2)) (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) eps))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 eps 2) x) 3) 1/64) (pow.f64 eps 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) 2) (fma.f64 eps eps (*.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))))
(pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) 1))
(fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 eps))
(fma.f64 (*.f64 x 1/4) (pow.f64 eps 2) (neg.f64 eps))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4))) (neg.f64 eps))
(fma.f64 (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (*.f64 eps (*.f64 1/2 (sqrt.f64 x))) (neg.f64 eps))
(fma.f64 (*.f64 (pow.f64 eps 2) x) 1/4 (neg.f64 eps))
(+.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(*.f64 1 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 2)
(log.f64 (exp.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
Outputs
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 1/2 eps))
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
(*.f64 eps (fma.f64 1/4 (*.f64 eps (cos.f64 x)) (*.f64 1/2 (sin.f64 x))))
(*.f64 eps (fma.f64 1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps 1/4))))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))
(*.f64 eps (fma.f64 1/2 (sin.f64 x) (*.f64 eps (fma.f64 1/4 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) -1/12))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) -1/12) (*.f64 1/4 (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/4 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (sin.f64 x)) (+.f64 (*.f64 -1/48 (sin.f64 x)) (*.f64 -1/96 (*.f64 eps (cos.f64 x))))))))))
(*.f64 eps (fma.f64 1/2 (sin.f64 x) (*.f64 eps (fma.f64 1/4 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) -1/12) (*.f64 (*.f64 eps (cos.f64 x)) -1/96)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) -1/12 (*.f64 (cos.f64 x) (*.f64 eps -1/96))) (*.f64 1/4 (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
(*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (pow.f64 eps 2)))
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(*.f64 1/2 eps)
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(fma.f64 1/2 eps (*.f64 x (fma.f64 -1/8 (pow.f64 eps 2) 1)))
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(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
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(*.f64 (sin.f64 x) (neg.f64 eps))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
(fma.f64 eps (*.f64 eps -1/2) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) (*.f64 eps (*.f64 eps -1/2)))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
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(fma.f64 x (*.f64 eps (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) (*.f64 (pow.f64 eps 2) -1/2))
(fma.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1)) (*.f64 (pow.f64 eps 2) -1/2))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1))))
(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
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(*.f64 eps (fma.f64 eps -1/2 (*.f64 x (fma.f64 x (fma.f64 eps 1/4 (*.f64 x 1/6)) -1))))
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(fma.f64 x (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) -1/2))
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(fma.f64 x (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) -1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
(fma.f64 x (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 eps 2))) eps) (*.f64 (pow.f64 eps 2) -1/2))
(fma.f64 x (fma.f64 (pow.f64 eps 2) (*.f64 x 1/4) (neg.f64 eps)) (*.f64 (pow.f64 eps 2) -1/2))

eval238.0ms (1.2%)

Compiler

Compiled 13200 to 8611 computations (34.8% saved)

prune98.0ms (0.5%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New5915596
Fresh213
Picked325
Done077
Total59615611
Accuracy
100.0%
Counts
611 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
✓51.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.4%
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
99.0%
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
98.1%
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
✓99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
✓80.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
99.0%
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
✓80.2%
(*.f64 x (neg.f64 eps))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
✓99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
✓99.1%
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
✓99.4%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
99.1%
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
Compiler

Compiled 657 to 417 computations (36.5% saved)

regimes33.0ms (0.2%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 eps 2) 1/4) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
Outputs
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
Calls

3 calls:

14.0ms
x
13.0ms
eps
4.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) 2))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))) 2)
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 eps 2) 1/4) (neg.f64 eps)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 -1/8 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x)))))) -2)
Outputs
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
Calls

3 calls:

13.0ms
x
13.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (*.f64 x 1/4)) eps) (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
Calls

3 calls:

12.0ms
x
10.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (fma.f64 x (fma.f64 1/6 x (*.f64 eps 1/4)) -1)) eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 x (+.f64 (*.f64 1/6 (*.f64 eps x)) (*.f64 1/4 (pow.f64 eps 2)))))))
(*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps)))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
Calls

3 calls:

11.0ms
x
10.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 (cos.f64 x) -1/2) (/.f64 (sin.f64 x) eps))))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
Calls

3 calls:

9.0ms
x
7.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1)) eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 eps 2) (-.f64 -1/2 (/.f64 x eps)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(*.f64 x (-.f64 (*.f64 (pow.f64 eps 2) (/.f64 -1/2 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 x (neg.f64 eps) (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
Calls

3 calls:

8.0ms
x
7.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 (*.f64 eps -1/2) eps) (*.f64 (neg.f64 x) eps))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps 1/4)) 1))))
Outputs
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

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

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (neg.f64 eps))
Outputs
(*.f64 x (neg.f64 eps))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
80.2%1x
80.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
78×*-commutative
50×unsub-neg
44×+-commutative
40×neg-mul-1
28×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072502
1135502
2162502
3180502
4212502
5262502
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 x (neg.f64 eps))
Outputs
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 1/24 (*.f64 eps (cos.f64 x))) (*.f64 -1/6 (sin.f64 x)))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/6 (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 1/4 eps))) 1))))
(*.f64 eps (+.f64 (*.f64 eps -1/2) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x 1/6) (*.f64 eps 1/4))) 1))))
(*.f64 eps (+.f64 (*.f64 eps -1/2) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x 1/6) (*.f64 eps 1/4))) -1))))
(*.f64 eps (+.f64 (*.f64 -1/2 eps) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 eps -1/2) (*.f64 x (-.f64 (*.f64 1/4 (*.f64 eps x)) 1))))
(*.f64 eps (+.f64 (*.f64 eps -1/2) (*.f64 x (+.f64 (*.f64 1/4 (*.f64 eps x)) -1))))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
Compiler

Compiled 146 to 102 computations (30.1% saved)

soundness608.0ms (3%)

Rules
1420×fma-define
1192×associate-*r*
1088×unsub-neg
992×associate-*l*
974×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089020026
1230018830
2732018830
01247
116147
2245847
03979968
18689448
222679010
367429010
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 804 to 472 computations (41.3% saved)

end0.0ms (0%)

preprocess91.0ms (0.5%)

Compiler

Compiled 308 to 200 computations (35.1% saved)

Profiling

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