sintan (problem 3.4.5)

Time bar (total: 14.0s)

analyze399.0ms (2.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.9%50.1%0%0%0%0
0%0%49.9%50.1%0%0%0%1
0%0%49.9%50.1%0%0%0%2
0%0%49.9%50.1%0%0%0%3
0%0%49.9%50.1%0%0%0%4
0%0%49.9%50.1%0%0%0%5
0%0%49.9%50.1%0%0%0%6
0%0%49.9%50.1%0%0%0%7
0%0%49.9%50.1%0%0%0%8
0%0%49.9%50.1%0%0%0%9
0%0%49.9%50.1%0%0%0%10
0%0%49.9%50.1%0%0%0%11
0%0%49.9%50.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
Operation ival-sub, time spent: 52.0ms, 27.0% of total-time
Operation ival-sin, time spent: 44.0ms, 23.0% of total-time
Operation ival-<=, time spent: 37.0ms, 19.0% of total-time
Operation ival-tan, time spent: 34.0ms, 18.0% of total-time
Operation ival-div, time spent: 14.0ms, 7.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time
Operation ival-and, time spent: 5.0ms, 3.0% of total-time

sample11.4s (81.5%)

Results
9.2s4145×2048valid
1.3s2065×1024valid
260.0ms1015×512valid
181.0ms905×256valid
132.0ms125×4096valid
0.0ms2048valid
Precisions
Click to see histograms. Total time spent on operations: 9.8s
Operation ival-tan, time spent: 5.8s, 59.0% of total-time
Operation ival-sin, time spent: 2.9s, 29.0% of total-time
Operation ival-sub, time spent: 521.0ms, 5.0% of total-time
Operation ival-<=, time spent: 308.0ms, 3.0% of total-time
Operation ival-div, time spent: 197.0ms, 2.0% of total-time
Operation const, time spent: 37.0ms, 0.0% of total-time
Operation ival-and, time spent: 35.0ms, 0.0% of total-time
Bogosity

preprocess951.0ms (6.8%)

Algorithm
egg-herbie
Rules
426×fma-define
316×fma-neg
124×times-frac
86×unsub-neg
78×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1640-3(8.60094766316441e-104)(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
941(3.1119559660837563e-108)0-(-.f64 eps (sin.f64 eps))
941(3.1119559660837563e-108)0-(-.f64 eps (tan.f64 eps))
00-0-(sin.f64 eps)
00-0-eps
00-0-(tan.f64 eps)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))u/u161
(-.f64 eps (sin.f64 eps))underflow161
(-.f64 eps (tan.f64 eps))underflow161
-.f64(-.f64 eps (sin.f64 eps))cancellation95
-.f64(-.f64 eps (tan.f64 eps))cancellation95
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018176
142164
294156
3266156
4572156
5888156
61045156
71083156
81144156
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))
Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(neg.f64 (/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (-.f64 (neg.f64 eps) (tan.f64 (neg.f64 eps)))))
(/.f64 (-.f64 (neg.f64 eps) (sin.f64 (neg.f64 eps))) (neg.f64 (-.f64 (neg.f64 eps) (neg.f64 (tan.f64 eps)))))
(/.f64 (fma.f64 -1 eps (sin.f64 eps)) (neg.f64 (fma.f64 -1 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))
Symmetry

(abs eps)

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 715.0ms
Operation ival-tan, time spent: 512.0ms, 72.0% of total-time
Operation ival-sin, time spent: 164.0ms, 23.0% of total-time
Operation ival-sub, time spent: 25.0ms, 3.0% of total-time
Operation ival-div, time spent: 13.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
0.3%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize366.0ms (2.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
66.5%
(-.f64 eps (sin.f64 eps))
66.4%
(-.f64 eps (tan.f64 eps))
37.1%
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 314.0ms
Operation ival-tan, time spent: 215.0ms, 69.0% of total-time
Operation ival-sin, time spent: 83.0ms, 26.0% of total-time
Operation ival-sub, time spent: 10.0ms, 3.0% of total-time
Operation ival-div, time spent: 4.0ms, 1.0% of total-time
Operation const, time spent: 1.0ms, 0.0% of total-time

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@-inf
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@0
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
1.0ms
eps
@inf
(-.f64 eps (tan.f64 eps))
1.0ms
eps
@-inf
(-.f64 eps (tan.f64 eps))

rewrite239.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1008×log1p-expm1-u
1008×expm1-log1p-u
894×log-prod
678×fma-define
356×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
115673
2254873
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (tan.f64 eps))
(-.f64 eps (sin.f64 eps))
Outputs
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)))
(pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2)
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) -1)
(neg.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) (pow.f64 (-.f64 eps (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 1))
(fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 1 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 eps (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (cbrt.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 eps (neg.f64 (tan.f64 eps)))
(+.f64 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 0 (-.f64 eps (tan.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(*.f64 (-.f64 eps (tan.f64 eps)) 1)
(*.f64 1 (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 eps (tan.f64 eps)))
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(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps)
(fma.f64 -1 (sin.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) eps)

simplify149.0ms (1.1%)

Algorithm
egg-herbie
Rules
936×fma-neg
630×log-prod
554×div-sub
490×exp-prod
432×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056110103
113609565
249829434
Stop Event
node limit
Counts
273 → 327
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (*.f64 9/40 (pow.f64 eps 2))) 1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (*.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 eps) eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))))
(*.f64 -1/3 (pow.f64 eps 3))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -2/15 (pow.f64 eps 5)))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (*.f64 -17/315 (pow.f64 eps 7))))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (+.f64 (*.f64 -17/315 (pow.f64 eps 7)) (*.f64 -62/2835 (pow.f64 eps 9)))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 1/6 (pow.f64 eps 3))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 -1/362880 (pow.f64 eps 9)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (*.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (-.f64 eps (tan.f64 eps)))))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 1 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (-.f64 eps (sin.f64 eps)) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (sin.f64 eps)) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (cbrt.f64 (-.f64 eps (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)))
(pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2)
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))) -1)
(neg.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) (pow.f64 (-.f64 eps (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 1))
(fma.f64 eps (/.f64 1 (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 1 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (sqrt.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 eps (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (cbrt.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 eps (tan.f64 eps)))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(fma.f64 (/.f64 eps (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 eps (neg.f64 (tan.f64 eps)))
(+.f64 eps (*.f64 (neg.f64 (tan.f64 eps)) 1))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) 1 (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps)))
(+.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 0 (-.f64 eps (tan.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))) (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 eps (tan.f64 eps))))))
(*.f64 (-.f64 eps (tan.f64 eps)) 1)
(*.f64 1 (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 eps))) 2) (cbrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 eps))) (sqrt.f64 (-.f64 eps (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (+.f64 eps (tan.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 eps) 3))))
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(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps)
(fma.f64 -1 (sin.f64 eps) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (neg.f64 (sin.f64 eps))) eps)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) eps)
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(fma.f64 9/40 (pow.f64 eps 2) -1/2)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (*.f64 9/40 (pow.f64 eps 2))) 1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 9/40 (pow.f64 eps 2) -1/2))
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 eps 4)) (+.f64 (*.f64 27/112000 (pow.f64 eps 6)) (*.f64 9/40 (pow.f64 eps 2)))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 27/112000 (pow.f64 eps 6) (*.f64 9/40 (pow.f64 eps 2)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 eps 4) (fma.f64 9/40 (pow.f64 eps 2) (*.f64 27/112000 (pow.f64 eps 6)))) -1/2)
(+.f64 (fma.f64 9/40 (pow.f64 eps 2) (*.f64 27/112000 (pow.f64 eps 6))) (fma.f64 -27/2800 (pow.f64 eps 4) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 eps) eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(fma.f64 -1 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) 1)
(+.f64 1 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) eps)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -1 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (*.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (-.f64 1 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) eps) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(fma.f64 -1 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) 1)
(+.f64 1 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 eps) eps) (*.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (*.f64 -1 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(+.f64 1 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 eps 2) (cos.f64 eps))) (*.f64 (fma.f64 -1 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 eps) 2))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (-.f64 1 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (pow.f64 eps 2) (cos.f64 eps))))))
(*.f64 -1/3 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) -1/3)
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (*.f64 -2/15 (pow.f64 eps 5)))
(fma.f64 -1/3 (pow.f64 eps 3) (*.f64 -2/15 (pow.f64 eps 5)))
(fma.f64 (pow.f64 eps 3) -1/3 (*.f64 -2/15 (pow.f64 eps 5)))
(fma.f64 -2/15 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (*.f64 -17/315 (pow.f64 eps 7))))
(fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 -2/15 (pow.f64 eps 5) (*.f64 -17/315 (pow.f64 eps 7))))
(fma.f64 (pow.f64 eps 3) -1/3 (fma.f64 -2/15 (pow.f64 eps 5) (*.f64 -17/315 (pow.f64 eps 7))))
(+.f64 (*.f64 -1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/15 (pow.f64 eps 5)) (+.f64 (*.f64 -17/315 (pow.f64 eps 7)) (*.f64 -62/2835 (pow.f64 eps 9)))))
(fma.f64 -1/3 (pow.f64 eps 3) (fma.f64 -2/15 (pow.f64 eps 5) (fma.f64 -17/315 (pow.f64 eps 7) (*.f64 -62/2835 (pow.f64 eps 9)))))
(fma.f64 (pow.f64 eps 3) -1/3 (fma.f64 -2/15 (pow.f64 eps 5) (fma.f64 -17/315 (pow.f64 eps 7) (*.f64 -62/2835 (pow.f64 eps 9)))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 eps (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 1/6 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) 1/6)
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3)))
(fma.f64 -1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) 1/6))
(fma.f64 (pow.f64 eps 3) 1/6 (*.f64 (pow.f64 eps 5) -1/120))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
(fma.f64 -1/120 (pow.f64 eps 5) (fma.f64 1/5040 (pow.f64 eps 7) (*.f64 (pow.f64 eps 3) 1/6)))
(fma.f64 (pow.f64 eps 5) -1/120 (fma.f64 (pow.f64 eps 3) 1/6 (*.f64 (pow.f64 eps 7) 1/5040)))
(+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (+.f64 (*.f64 -1/362880 (pow.f64 eps 9)) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 -1/120 (pow.f64 eps 5) (fma.f64 -1/362880 (pow.f64 eps 9) (fma.f64 1/5040 (pow.f64 eps 7) (*.f64 (pow.f64 eps 3) 1/6))))
(fma.f64 (pow.f64 eps 5) -1/120 (fma.f64 (pow.f64 eps 9) -1/362880 (fma.f64 (pow.f64 eps 3) 1/6 (*.f64 (pow.f64 eps 7) 1/5040))))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(+.f64 eps (*.f64 -1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(+.f64 0 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))) 1)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 1 (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) 1)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 1 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (/.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
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(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) 1) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) 1) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
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(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
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(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
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(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 eps (sin.f64 eps))))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
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(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
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(pow.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3) 1/3)
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(pow.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) 2)
(-.f64 eps (sin.f64 eps))
(sqrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 2))
(-.f64 eps (sin.f64 eps))
(log.f64 (exp.f64 (-.f64 eps (sin.f64 eps))))
(-.f64 eps (sin.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (sin.f64 eps)))))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (exp.f64 eps) (/.f64 1 (exp.f64 (sin.f64 eps)))))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (/.f64 1 (exp.f64 (sin.f64 eps)))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (neg.f64 (sin.f64 eps)))))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 eps))) (exp.f64 eps)))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 eps))) (exp.f64 eps)))
(-.f64 eps (sin.f64 eps))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 eps))) (+.f64 1 (expm1.f64 eps))))
(-.f64 eps (sin.f64 eps))
(log.f64 (/.f64 (exp.f64 eps) (+.f64 1 (expm1.f64 (sin.f64 eps)))))
(-.f64 eps (sin.f64 eps))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (exp.f64 (sin.f64 eps))))
(-.f64 eps (sin.f64 eps))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 eps)) (+.f64 1 (expm1.f64 (sin.f64 eps)))))
(-.f64 eps (sin.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) 3))
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(expm1.f64 (log1p.f64 (-.f64 eps (sin.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 eps (sin.f64 eps))))
(-.f64 eps (sin.f64 eps))
(exp.f64 (log.f64 (-.f64 eps (sin.f64 eps))))
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(exp.f64 (*.f64 (log.f64 (-.f64 eps (sin.f64 eps))) 1))
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(fma.f64 (-.f64 eps (sin.f64 eps)) 1 (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
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(fma.f64 (-.f64 eps (sin.f64 eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (-.f64 eps (sin.f64 eps)) 1 (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
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(fma.f64 1 eps (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 1 eps (*.f64 (neg.f64 (sin.f64 eps)) 1))
(-.f64 eps (sin.f64 eps))
(fma.f64 1 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 1 (-.f64 eps (sin.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 1 (-.f64 eps (sin.f64 eps)) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 1 (neg.f64 (sin.f64 eps)) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (neg.f64 (cbrt.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps (sin.f64 eps))) 2) (cbrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (neg.f64 (sin.f64 eps)) 1))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) 1))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (-.f64 eps (sin.f64 eps))) (sqrt.f64 (-.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (sin.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) 1))
(-.f64 eps (sin.f64 eps))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) 1) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) 1) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) 1) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (pow.f64 eps 2)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(fma.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 eps (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 -1 (sin.f64 eps) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (neg.f64 (sin.f64 eps))) eps)
(-.f64 eps (sin.f64 eps))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) 1 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 0 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 0 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) 0)
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (+.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (*.f64 0 (sin.f64 eps)))
(fma.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (sin.f64 eps))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) eps)
(-.f64 eps (sin.f64 eps))

eval69.0ms (0.5%)

Compiler

Compiled 6265 to 1964 computations (68.7% saved)

prune53.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3252327
Fresh000
Picked101
Done000
Total3262328
Accuracy
100.0%
Counts
328 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
99.9%
-1/2
Compiler

Compiled 10 to 9 computations (10% saved)

localize42.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 9/40 (pow.f64 eps 2))
Compiler

Compiled 22 to 18 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-pow, time spent: 5.0ms, 45.0% of total-time
Operation ival-mult, time spent: 3.0ms, 27.0% of total-time
Operation ival-sub, time spent: 1.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 9/40 (pow.f64 eps 2))
1.0ms
eps
@inf
(*.f64 9/40 (pow.f64 eps 2))
1.0ms
eps
@-inf
(*.f64 9/40 (pow.f64 eps 2))

rewrite171.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
842×associate-*r*
740×associate-*l*
492×unpow-prod-down
397×log1p-expm1-u
286×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
16916
271316
3779116
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 eps 2))
Outputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))

simplify62.0ms (0.4%)

Algorithm
egg-herbie
Rules
776×fma-neg
686×*-commutative
544×distribute-lft-out
518×associate--l+
502×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089640
1218636
2605623
32766619
Stop Event
node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))
Outputs
(+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) -1)
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 0 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/20))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (pow.f64 eps 2)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 eps 2) 9/20)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (pow.f64 eps 2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)) (log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/80)))
(*.f64 9/40 (pow.f64 eps 2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1)
(*.f64 9/40 (pow.f64 eps 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) (+.f64 1 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3) -1) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) 3)) (fma.f64 (fma.f64 9/40 (pow.f64 eps 2) 1) (fma.f64 9/40 (pow.f64 eps 2) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)) 1) (+.f64 (+.f64 (*.f64 9/40 (pow.f64 eps 2)) 1) 1))
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 9/40 (pow.f64 eps 2)) 1)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2))) 3)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 (pow.f64 eps 4) 81/1600) 1/2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (*.f64 (pow.f64 eps 6) 729/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(cbrt.f64 (*.f64 729/64000 (pow.f64 eps 6)))
(pow.f64 (*.f64 eps (sqrt.f64 9/40)) 2)
(*.f64 9/40 (pow.f64 eps 2))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))) (sqrt.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40))))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 81/1600))
(*.f64 9/40 (pow.f64 eps 2))
(fabs.f64 (*.f64 9/40 (pow.f64 eps 2)))
(*.f64 9/40 (pow.f64 eps 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) 9/40))
(*.f64 9/40 (pow.f64 eps 2))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(cbrt.f64 (*.f64 729/64000 (pow.f64 eps 6)))
(expm1.f64 (log1p.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(log1p.f64 (expm1.f64 (*.f64 9/40 (pow.f64 eps 2))))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (fma.f64 2 (log.f64 eps) (log.f64 9/40)))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (pow.f64 eps 2)))) 3))
(*.f64 9/40 (pow.f64 eps 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 6) 729/64000)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 eps 6) 729/64000))
(cbrt.f64 (*.f64 729/64000 (pow.f64 eps 6)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 9/40))) 2))
(*.f64 9/40 (pow.f64 eps 2))

eval16.0ms (0.1%)

Compiler

Compiled 495 to 436 computations (11.9% saved)

prune5.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh000
Picked022
Done000
Total33235
Accuracy
100.0%
Counts
35 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
99.9%
-1/2
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Outputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
Calls

2 calls:

3.0ms
eps
2.0ms
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1/2
Outputs
-1/2
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.9%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
11623
22123
32323
42423
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2
Outputs
(-.f64 (*.f64 9/40 (pow.f64 eps 2)) 1/2)
-1/2
Compiler

Compiled 10 to 9 computations (10% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess48.0ms (0.3%)

Remove

(abs eps)

Compiler

Compiled 162 to 114 computations (29.6% saved)

Profiling

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