2sin (example 3.3)

Time bar (total: 13.6s)

analyze57.0ms (0.4%)

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-sin, time spent: 13.0ms, 40.0% of total-time
Operation ival-add, time spent: 3.0ms, 9.0% of total-time
Operation ival-mult, time spent: 3.0ms, 9.0% of total-time
Operation ival-fabs, time spent: 3.0ms, 9.0% of total-time
Operation ival-<=, time spent: 3.0ms, 9.0% of total-time
Operation ival-<, time spent: 3.0ms, 9.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time
Operation ival-and, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample7.2s (52.4%)

Results
4.8s25666×256precondition
1.5s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
Operation ival-sin, time spent: 1.0s, 28.0% of total-time
Operation ival-add, time spent: 754.0ms, 21.0% of total-time
Operation ival-<=, time spent: 411.0ms, 11.0% of total-time
Operation ival-<, time spent: 362.0ms, 10.0% of total-time
Operation ival-fabs, time spent: 330.0ms, 9.0% of total-time
Operation ival-mult, time spent: 310.0ms, 9.0% of total-time
Operation ival-sub, time spent: 259.0ms, 7.0% of total-time
Operation ival-and, time spent: 132.0ms, 4.0% of total-time
Operation const, time spent: 69.0ms, 2.0% of total-time
Bogosity

preprocess178.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
154×fmm-def
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2252(-1.0840285637556883e-127 1.975238483668853e-131)4(-1.1017528691956325e-205 3.606009748265559e-207)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11(-368.2906792542634 3.976776590285034e-12)1(81.22344876306083 2.9992178238276318e-5)(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027226
149210
2101210
3201210
4378210
5481210
6638210
7722210
8764210
9770210
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-sin, time spent: 16.0ms, 65.0% of total-time
Operation ival-add, time spent: 6.0ms, 24.0% of total-time
Operation ival-sub, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 4.0% 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
▶63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize46.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.9%
(sin.f64 (+.f64 x eps))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-sin, time spent: 11.0ms, 73.0% of total-time
Operation ival-add, time spent: 3.0ms, 20.0% of total-time
Operation ival-sub, time spent: 1.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
Calls

12 calls:

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

rewrite243.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
461×fma-define
401×log-prod
211×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 1 binary64)))
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(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
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(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
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(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
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(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
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(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))

simplify204.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
472×unsub-neg
338×sub-neg
331×fmm-def
309×div-sub
301×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03838992
18728632
224448236
368998236
Stop Event
1×node limit
Counts
199 → 229
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
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(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (sin.f64 eps) #s(literal -1 binary64))) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval54.0ms (0.4%)

Compiler

Compiled 4164 to 1279 computations (69.3% saved)

prune39.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2227229
Fresh000
Picked011
Done000
Total2228230
Accuracy
100.0%
Counts
230 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶63.1%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
▶100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
▶99.9%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶99.5%
(*.f64 eps (cos.f64 x))
▶98.6%
(sin.f64 eps)
Compiler

Compiled 223 to 154 computations (30.9% saved)

localize371.0ms (2.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓63.1%
(+.f64 x (-.f64 eps x))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
✓99.9%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
✓99.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
✓99.4%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
Compiler

Compiled 274 to 116 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
Operation ival-add, time spent: 100.0ms, 48.0% of total-time
Operation ival-mult, time spent: 73.0ms, 35.0% of total-time
Operation ival-cos, time spent: 13.0ms, 6.0% of total-time
Operation ival-sin, time spent: 13.0ms, 6.0% of total-time
Operation ival-sub, time spent: 5.0ms, 2.0% of total-time
Operation const, time spent: 5.0ms, 2.0% of total-time

series35.0ms (0.3%)

Counts
10 → 128
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))>
#<alt #s(literal -1/6 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))>
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
3.0ms
x
@0
(* (* (sin (* (+ x (- eps x)) 1/2)) (cos (* (+ eps (+ x x)) 1/2))) 2)
1.0ms
eps
@0
(* 1/24 (* eps (sin x)))
1.0ms
x
@inf
(* (* (sin (* (+ x (- eps x)) 1/2)) (cos (* (+ eps (+ x x)) 1/2))) 2)
1.0ms
x
@-inf
(* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))

rewrite112.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
293×log1p-expm1-u
293×expm1-log1p-u
289×add-cube-cbrt
286×add-exp-log
286×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036354
1602342
Stop Event
1×node limit
Counts
10 → 201
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 x (-.f64 eps x))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) (*.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (*.f64 eps (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64)) (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 #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 eps x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 eps x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 eps x))
(fma.f64 #s(literal 1 binary64) (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify204.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
816×fmm-def
690×associate-*r*
660×fma-define
583×associate-*l*
279×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074015294
1209414337
2737714337
Stop Event
1×node limit
Counts
329 → 425
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(literal -1/6 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64)) (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 #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 eps x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 eps x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)))
(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))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 eps x))
(fma.f64 #s(literal 1 binary64) (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/12 binary64)) x))))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 1/12 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps))))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/12 binary64) (*.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 #s(literal 1/24 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))
(*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64))))
(*.f64 x (fma.f64 eps #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/144 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2880 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/144 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2880 binary64)))) (*.f64 eps #s(literal 1/24 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps)))))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2880 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/2880 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/120960 binary64)))) (*.f64 eps #s(literal -1/144 binary64))) (*.f64 eps #s(literal 1/24 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps)))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 (sin.f64 x) #s(literal -1/24 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps))) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps))) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/12 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64))))))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/12 binary64))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal -1/6 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal -1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/144 binary64)))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) #s(literal -1/6 binary64))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 eps #s(literal 1/24 binary64))) (*.f64 eps #s(literal -1/2 binary64))) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps x) #s(literal -1/2 binary64))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (*.f64 eps (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/10080 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/240 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/10080 binary64)))) (*.f64 eps #s(literal 1/12 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 eps))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/8 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/48 binary64)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
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eval317.0ms (2.3%)

Compiler

Compiled 10511 to 5918 computations (43.7% saved)

prune78.0ms (0.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4187425
Fresh112
Picked235
Done011
Total42112433
Accuracy
100.0%
Counts
433 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.9%
(*.f64 eps (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
▶99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
▶100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
✓99.9%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓99.5%
(*.f64 eps (cos.f64 x))
99.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
▶98.6%
eps
Compiler

Compiled 331 to 228 computations (31.1% saved)

localize656.0ms (4.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
✓100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓99.8%
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))
✓99.8%
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))
✓100.0%
(*.f64 (*.f64 eps x) #s(literal -1/2 binary64))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
✓99.9%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
100.0%
(*.f64 eps (cos.f64 x))
✓99.9%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
✓99.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
Compiler

Compiled 342 to 167 computations (51.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 404.0ms
Operation ival-mult, time spent: 248.0ms, 61.0% of total-time
Operation ival-pow, time spent: 107.0ms, 26.0% of total-time
Operation ival-add, time spent: 21.0ms, 5.0% of total-time
Operation ival-sub, time spent: 9.0ms, 2.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time
Operation ival-div, time spent: 5.0ms, 1.0% of total-time
Operation ival-cos, time spent: 3.0ms, 1.0% of total-time
Operation ival-sin, time spent: 3.0ms, 1.0% of total-time

series48.0ms (0.4%)

Counts
13 → 231
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))>
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))>
#<alt (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))>
#<alt (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))>
#<alt (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64))>
#<alt (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (cos.f64 x) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/2 binary64))))>
Calls

72 calls:

TimeVariablePointExpression
9.0ms
eps
@-inf
(* eps (+ (cos x) (* (* eps x) -1/2)))
6.0ms
eps
@0
(pow (* (* -1/2 eps) (sin x)) 3)
2.0ms
x
@inf
(pow (* (* -1/2 eps) (sin x)) 3)
1.0ms
x
@0
(pow (* (* -1/2 eps) (sin x)) 3)
1.0ms
x
@-inf
(pow (* (* -1/2 eps) (sin x)) 3)

rewrite149.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
344×associate-*r*
283×log1p-expm1-u
283×expm1-log1p-u
279×add-cube-cbrt
271×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037407
1627387
Stop Event
1×node limit
Counts
13 → 320
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 (*.f64 eps x) #s(literal -1/2 binary64))
(+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps)))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) (/.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) (sqrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x)))
(pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
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(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))

simplify306.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
912×times-frac
804×fma-define
567×fmm-def
440×*-commutative
257×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095523651
1252123073
2643023037
Stop Event
1×node limit
Counts
551 → 587
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
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#s(literal 1 binary64)
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(cos.f64 x)
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eps
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) (cos.f64 x))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)))
(pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) eps) (sin.f64 x))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (sin.f64 x)) eps)
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64)) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/12 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/144 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4320 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/4320 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/144 binary64))) (*.f64 eps #s(literal 1/12 binary64))) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
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#s(literal 1 binary64)
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(cos.f64 x)
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eps
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(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(pow.f64 (cos.f64 x) #s(literal 3 binary64))

eval565.0ms (4.1%)

Compiler

Compiled 15751 to 9008 computations (42.8% saved)

prune111.0ms (0.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New6112613
Fresh033
Picked235
Done044
Total61312625
Accuracy
100.0%
Counts
625 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶98.6%
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
▶99.7%
(*.f64 eps (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
✓99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
✓99.9%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓99.5%
(*.f64 eps (cos.f64 x))
▶99.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
✓98.6%
eps
Compiler

Compiled 294 to 203 computations (31% saved)

localize936.0ms (6.9%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (cos.f64 x) #s(literal 3 binary64))
100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓99.8%
(pow.f64 (*.f64 eps x) #s(literal 2 binary64))
99.8%
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64))
✓100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
✓100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
✓99.9%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓100.0%
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
✓99.9%
(*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps)
99.9%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
100.0%
(*.f64 (*.f64 eps x) #s(literal -1/2 binary64))
✓100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
✓99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Compiler

Compiled 411 to 236 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 653.0ms
Operation ival-mult, time spent: 289.0ms, 44.0% of total-time
Operation ival-cos, time spent: 151.0ms, 23.0% of total-time
Operation ival-add, time spent: 88.0ms, 13.0% of total-time
Operation ival-pow, time spent: 66.0ms, 10.0% of total-time
Operation ival-sub, time spent: 30.0ms, 5.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Operation ival-sin, time spent: 13.0ms, 2.0% of total-time
Operation ival-div, time spent: 4.0ms, 1.0% of total-time

series30.0ms (0.2%)

Counts
10 → 195
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))>
#<alt (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps)>
#<alt (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))>
#<alt (pow.f64 (*.f64 eps x) #s(literal 2 binary64))>
Outputs
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(cos (* 1/2 (- eps (* -2 x))))
2.0ms
eps
@0
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))
1.0ms
eps
@inf
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
1.0ms
eps
@-inf
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
1.0ms
eps
@inf
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))

rewrite123.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
308×log1p-expm1-u
308×expm1-log1p-u
300×add-cube-cbrt
298×add-exp-log
298×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039381
1664370
Stop Event
1×node limit
Counts
10 → 221
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps)
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 eps x) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))) (-.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) (-.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps)))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps)))
(*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps))) (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) eps) (-.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
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(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))) #s(literal 1 binary64)))

simplify377.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
724×fmm-def
561×associate-*r*
471×associate-*l*
459×fma-define
289×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075221876
1206720485
2683620483
Stop Event
1×node limit
Counts
416 → 491
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
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eps
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eps
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(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))) #s(literal 1 binary64)))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/6 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal -1/12 binary64)))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (neg.f64 x))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
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eps
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eps
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (sqrt.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x eps) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x eps) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 eps x))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))

eval408.0ms (3%)

Compiler

Compiled 16248 to 10453 computations (35.7% saved)

prune290.0ms (2.1%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New6473650
Fresh000
Picked235
Done077
Total64913662
Accuracy
100.0%
Counts
662 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓98.6%
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
99.7%
(*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
✓99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
✓99.9%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓99.5%
(*.f64 eps (cos.f64 x))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
✓99.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
✓98.6%
eps
Compiler

Compiled 530 to 329 computations (37.9% saved)

regimes21.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
(*.f64 eps (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
Calls

3 calls:

7.0ms
eps
7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
Calls

3 calls:

5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Calls

3 calls:

5.0ms
x
5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
eps
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Calls

3 calls:

4.0ms
eps
3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes77.0ms (0.6%)

Counts
10 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(*.f64 eps (cos.f64 x))
Calls

3 calls:

70.0ms
eps
3.0ms
x
3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
Calls

2 calls:

3.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-10.3%)

Threshold costs -0.1b (-10.3%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
Outputs
eps
Calls

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
11×+-commutative
4×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048328
186328
297328
3103328
4107328
5108328
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
eps
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 x #s(literal -2 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
Compiler

Compiled 97 to 67 computations (30.9% saved)

soundness318.0ms (2.3%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
816×fmm-def
690×associate-*r*
660×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
074015294
1209414337
2737714337
Stop Event
1×node limit
1×node limit
Compiler

Compiled 210 to 118 computations (43.8% saved)

end0.0ms (0%)

preprocess76.0ms (0.6%)

Compiler

Compiled 218 to 132 computations (39.4% saved)

Profiling

Loading profile data...