2tan (problem 3.3.2)

Time bar (total: 38.7s)

analyze68.0ms (0.2%)

Algorithm
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: 39.0ms
Operation ival-tan, time spent: 16.0ms, 41.0% of total-time
Operation ival-mult, time spent: 9.0ms, 23.0% of total-time
Operation ival-<=, time spent: 3.0ms, 8.0% of total-time
Operation ival-<, time spent: 3.0ms, 8.0% of total-time
Operation ival-add, time spent: 2.0ms, 5.0% of total-time
Operation ival-sub, time spent: 2.0ms, 5.0% of total-time
Operation ival-and, time spent: 2.0ms, 5.0% of total-time
Operation ival-fabs, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample6.8s (17.4%)

Results
4.6s26243×256precondition
1.4s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
Operation ival-tan, time spent: 1.0s, 29.0% of total-time
Operation ival-sub, time spent: 566.0ms, 16.0% of total-time
Operation ival-<=, time spent: 562.0ms, 16.0% of total-time
Operation ival-mult, time spent: 492.0ms, 14.0% of total-time
Operation ival-<, time spent: 296.0ms, 8.0% of total-time
Operation ival-add, time spent: 239.0ms, 7.0% of total-time
Operation ival-fabs, time spent: 178.0ms, 5.0% of total-time
Operation ival-and, time spent: 131.0ms, 4.0% of total-time
Operation const, time spent: 72.0ms, 2.0% of total-time
Bogosity

preprocess269.0ms (0.7%)

Algorithm
egg-herbie
Rules
308×fma-neg
118×fma-define
98×sub-neg
78×cancel-sign-sub-inv
70×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2272(8.62033532336669e-57 6.381664583050877e-59)4(3.2515445990350353e-254 4.7466477147698835e-256)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
60-1(-92.82179235440206 4.222393789879122e-8)(tan.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation ival-tan, time spent: 28.0ms, 73.0% of total-time
Operation ival-add, time spent: 7.0ms, 18.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize46.0ms (0.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(tan.f64 (+.f64 x eps))
60.0%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-tan, time spent: 13.0ms, 68.0% of total-time
Operation ival-add, time spent: 4.0ms, 21.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series16.0ms (0%)

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

12 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(- (tan (+ x eps)) (tan x))
2.0ms
eps
@inf
(- (tan (+ x eps)) (tan x))
2.0ms
x
@0
(- (tan (+ x eps)) (tan x))
1.0ms
x
@inf
(- (tan (+ x eps)) (tan x))
1.0ms
x
@-inf
(- (tan (+ x eps)) (tan x))

rewrite221.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1766×prod-diff
929×log1p-expm1-u
929×expm1-log1p-u
684×fma-define
338×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
115647
2234647
Stop Event
node limit
Counts
2 → 117
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
Outputs
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (tan.f64 x)))
(fma.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))

simplify230.0ms (0.6%)

Algorithm
egg-herbie
Rules
1052×distribute-lft-in
1046×distribute-rgt-in
704×associate-+l+
638×fma-neg
624×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035110553
18859844
229029429
Stop Event
node limit
Counts
165 → 191
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
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(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 x) (cos.f64 x))
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(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (-.f64 (*.f64 x (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) (neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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eval110.0ms (0.3%)

Compiler

Compiled 5617 to 2509 computations (55.3% saved)

prune51.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New17912191
Fresh000
Picked011
Done000
Total17913192
Accuracy
100.0%
Counts
192 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
60.0%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
97.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
59.6%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
58.9%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
24.1%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
99.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 601 to 404 computations (32.8% saved)

localize4.8s (12.3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
99.9%
(tan.f64 (+.f64 x eps))
99.6%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
60.6%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
37.5%
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
99.9%
(log1p.f64 (tan.f64 (+.f64 x eps)))
99.9%
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
99.9%
(tan.f64 (+.f64 x eps))
60.6%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
99.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
99.8%
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
99.4%
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
98.5%
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
Compiler

Compiled 1028 to 648 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
Operation ival-mult, time spent: 992.0ms, 29.0% of total-time
Operation ival-pow, time spent: 830.0ms, 24.0% of total-time
Operation ival-div, time spent: 477.0ms, 14.0% of total-time
Operation composed, time spent: 260.0ms, 8.0% of total-time
Operation ival-sub, time spent: 258.0ms, 8.0% of total-time
Operation ival-exp, time spent: 149.0ms, 4.0% of total-time
Operation ival-sin, time spent: 108.0ms, 3.0% of total-time
Operation ival-add, time spent: 107.0ms, 3.0% of total-time
Operation ival-log, time spent: 93.0ms, 3.0% of total-time
Operation const, time spent: 80.0ms, 2.0% of total-time
Operation ival-tan, time spent: 37.0ms, 1.0% of total-time
Operation ival-cos, time spent: 15.0ms, 0.0% of total-time
Operation ival-cbrt, time spent: 11.0ms, 0.0% of total-time

series288.0ms (0.7%)

Counts
14 → 248
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))>
#<alt (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))>
#<alt (log1p.f64 (tan.f64 (+.f64 x eps)))>
#<alt (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))>
#<alt (-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))>
#<alt (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))>
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (*.f64 (tan.f64 x) (tan.f64 eps))>
Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
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Calls

75 calls:

TimeVariablePointExpression
79.0ms
x
@inf
(log (+ 1 (tan (+ x eps))))
51.0ms
eps
@-inf
(log (+ 1 (tan (+ x eps))))
22.0ms
eps
@inf
(log (+ 1 (tan (+ x eps))))
22.0ms
x
@-inf
(log (+ 1 (tan (+ x eps))))
7.0ms
eps
@-inf
(* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))

rewrite224.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
433×log1p-expm1-u
432×expm1-log1p-u
414×add-cube-cbrt
413×add-exp-log
410×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054883
1959881
Stop Event
node limit
Counts
14 → 295
Calls
Call 1
Inputs
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (tan.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))
(pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
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(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))

simplify383.0ms (1%)

Algorithm
egg-herbie
Rules
1376×fma-define
1108×associate-*r*
982×distribute-lft-in
980×distribute-rgt-in
914×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097749369
1275446449
Stop Event
node limit
Counts
543 → 471
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))
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eps
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(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
Outputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 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 -248/135 binary64) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(fma.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/3 binary64) eps))
(fma.f64 (*.f64 #s(literal -4/3 binary64) eps) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -17/9 binary64) eps))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) eps (*.f64 (*.f64 #s(literal -248/135 binary64) eps) (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)) (fma.f64 (*.f64 #s(literal -248/135 binary64) eps) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -17/9 binary64) eps)) (*.f64 #s(literal -4/3 binary64) eps)) (*.f64 #s(literal -1/3 binary64) eps))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/270 binary64))))))
(*.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 17/270 binary64) #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 31/945 binary64))))))))
(*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 31/945 binary64) #s(literal 17/270 binary64)) #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))
(*.f64 eps (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
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(*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))
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(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x eps))
(fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
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eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
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(-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (*.f64 (tan.f64 x) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
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(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 eps) (tan.f64 x)))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (tan.f64 eps) (tan.f64 x))
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(+.f64 (tan.f64 eps) (tan.f64 x))
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(expm1.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
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(+.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
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(+.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(+.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
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(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(*.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
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(*.f64 (tan.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
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(+.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (tan.f64 eps) (tan.f64 x))

eval546.0ms (1.4%)

Compiler

Compiled 32919 to 19333 computations (41.3% saved)

prune125.0ms (0.3%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New67013683
Fresh167
Picked145
Done011
Total67224696
Accuracy
100.0%
Counts
696 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
30.8%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
96.5%
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
60.0%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
97.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.1%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
9.4%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
9.3%
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
59.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
59.6%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
58.9%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
24.1%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
98.6%
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.2%
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
97.2%
(tan.f64 eps)
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
88.2%
(exp.f64 (log.f64 (tan.f64 eps)))
97.2%
eps
Compiler

Compiled 1025 to 674 computations (34.2% saved)

localize9.0s (23.1%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(/.f64 (sin.f64 x) (cos.f64 x))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
100.0%
(expm1.f64 (tan.f64 (+.f64 x eps)))
100.0%
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
99.6%
(tan.f64 (+.f64 x eps))
60.0%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
90.9%
(exp.f64 (log.f64 (tan.f64 eps)))
99.9%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
99.9%
(pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x)))))
98.5%
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
56.0%
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))
Compiler

Compiled 851 to 498 computations (41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.7s
Operation ival-pow, time spent: 4.1s, 53.0% of total-time
Operation ival-mult, time spent: 998.0ms, 13.0% of total-time
Operation ival-tan, time spent: 671.0ms, 9.0% of total-time
Operation composed, time spent: 566.0ms, 7.0% of total-time
Operation ival-log, time spent: 449.0ms, 6.0% of total-time
Operation ival-add, time spent: 328.0ms, 4.0% of total-time
Operation ival-div, time spent: 234.0ms, 3.0% of total-time
Operation ival-sin, time spent: 94.0ms, 1.0% of total-time
Operation const, time spent: 93.0ms, 1.0% of total-time
Operation ival-exp, time spent: 82.0ms, 1.0% of total-time
Operation ival-cos, time spent: 45.0ms, 1.0% of total-time
Operation ival-sub, time spent: 36.0ms, 0.0% of total-time

series422.0ms (1.1%)

Counts
10 → 176
Calls
Call 1
Inputs
#<alt (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))>
#<alt (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))>
#<alt (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x)))))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 (log.f64 (tan.f64 eps)))>
#<alt (-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))>
#<alt (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))>
#<alt (expm1.f64 (tan.f64 (+.f64 x eps)))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
Outputs
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
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#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 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#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
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#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))>
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#<alt #s(literal -1/3 binary64)>
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#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
Calls

48 calls:

TimeVariablePointExpression
153.0ms
x
@inf
(log (pow (exp eps) (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) -1/2))))) (* (sin x) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (cos x))))))
102.0ms
eps
@-inf
(log (pow (exp eps) (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) -1/2))))) (* (sin x) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (cos x))))))
59.0ms
x
@-inf
(log (pow (exp eps) (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) -1/2))))) (* (sin x) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (cos x))))))
50.0ms
eps
@inf
(log (pow (exp eps) (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) -1/2))))) (* (sin x) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (cos x))))))
8.0ms
eps
@0
(log (pow (exp eps) (+ (* (* -1 eps) (+ 1/6 (+ (* -1 (* (pow (sin x) 2) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (pow (cos x) 2)))) (+ (* 1/6 (* (pow (sin x) 2) (pow (cos x) -2))) (* (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) -1/2))))) (* (sin x) (/ (+ 1 (* (pow (sin x) 2) (pow (cos x) -2))) (cos x))))))

rewrite136.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
361×log1p-expm1-u
360×expm1-log1p-u
347×add-exp-log
345×add-cube-cbrt
344×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050833
1783580
Stop Event
node limit
Counts
10 → 218
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x)))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(exp.f64 (log.f64 (tan.f64 eps)))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (tan.f64 (+.f64 x eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 x) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
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(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)

simplify322.0ms (0.8%)

Algorithm
egg-herbie
Rules
1286×fma-define
1126×distribute-lft-in
1124×distribute-rgt-in
1092×associate-*r*
938×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091244662
1258843082
Stop Event
node limit
Counts
394 → 427
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -24 binary64) (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -12 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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#s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) 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#s(literal 1 binary64)
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(exp.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
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(pow.f64 x #s(literal 2 binary64))
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eps
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(+.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(tan.f64 (+.f64 eps x))
(-.f64 (exp.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))) (sqrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(pow.f64 (expm1.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (tan.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 (+.f64 eps x))) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(exp.f64 (log.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (tan.f64 (+.f64 eps x)))) #s(literal 1 binary64)))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
Outputs
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
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(pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
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(pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(pow.f64 (exp.f64 eps) (-.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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(pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(pow.f64 (exp.f64 eps) (-.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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(pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(pow.f64 (exp.f64 eps) (-.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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(pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(pow.f64 (exp.f64 eps) (-.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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(pow.f64 x #s(literal 2 binary64))
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eps
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 3 binary64)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(tan.f64 x)
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 x)
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan.f64 x)
(fabs.f64 (tan.f64 x))
(tan.f64 x)
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(tan.f64 x)

eval699.0ms (1.8%)

Compiler

Compiled 43290 to 26340 computations (39.2% saved)

prune162.0ms (0.4%)

Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New6965701
Fresh11314
Picked145
Done055
Total69827725
Accuracy
100.0%
Counts
725 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
30.8%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
87.9%
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
60.0%
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
60.0%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
97.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.1%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
9.4%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
9.3%
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
59.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
59.6%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
58.9%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
24.1%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
98.6%
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.2%
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
97.2%
(tan.f64 eps)
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
88.2%
(exp.f64 (log.f64 (tan.f64 eps)))
97.2%
eps
Compiler

Compiled 1410 to 940 computations (33.3% saved)

localize9.2s (23.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
99.9%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
99.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
99.4%
(*.f64 eps #s(literal -1/3 binary64))
100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
100.0%
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
33.4%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
99.9%
(pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x)))))
98.5%
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))))
56.2%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
56.0%
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))
Compiler

Compiled 1143 to 723 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.5s
Operation ival-pow, time spent: 3.9s, 52.0% of total-time
Operation ival-mult, time spent: 1.1s, 15.0% of total-time
Operation ival-tan, time spent: 394.0ms, 5.0% of total-time
Operation ival-add, time spent: 378.0ms, 5.0% of total-time
Operation composed, time spent: 372.0ms, 5.0% of total-time
Operation ival-log, time spent: 346.0ms, 5.0% of total-time
Operation ival-cos, time spent: 337.0ms, 5.0% of total-time
Operation ival-div, time spent: 308.0ms, 4.0% of total-time
Operation const, time spent: 128.0ms, 2.0% of total-time
Operation ival-sub, time spent: 125.0ms, 2.0% of total-time
Operation ival-sin, time spent: 90.0ms, 1.0% of total-time
Operation ival-exp, time spent: 26.0ms, 0.0% of total-time
Operation ival-neg, time spent: 4.0ms, 0.0% of total-time

series34.0ms (0.1%)

Counts
8 → 144
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))>
#<alt (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (tan.f64 eps) #s(literal 3 binary64))>
#<alt (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))>
#<alt (*.f64 eps #s(literal -1/3 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/45 binary64) (*.f64 #s(literal -2/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2/3 binary64)))))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (pow.f64 eps #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 11/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 11/15 binary64) (*.f64 #s(literal 88/189 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 #s(literal 1/3 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x)))) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(pow (pow (tan eps) 3) 1/3)
3.0ms
eps
@0
(- (* -1 (* eps -1/3)) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
1.0ms
x
@inf
(* eps (- (* -1 (* eps -1/3)) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
1.0ms
eps
@0
(* eps (- (* -1 (* eps -1/3)) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
1.0ms
eps
@inf
(/ 1 (- 1 (* (tan x) (tan eps))))

rewrite113.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
310×log1p-expm1-u
310×expm1-log1p-u
301×pow1
300×add-exp-log
297×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042334
1688260
Stop Event
node limit
Counts
8 → 205
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 eps #s(literal -1/3 binary64))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 1 binary64)))
(tan.f64 eps)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)) (tan.f64 eps))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (*.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (-.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 2 binary64))
(neg.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (neg.f64 eps) #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))

simplify611.0ms (1.6%)

Algorithm
egg-herbie
Rules
1256×fma-neg
744×fma-define
640×associate-*r*
568×sub-neg
552×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069724787
1180420624
2618819214
Stop Event
node limit
Counts
349 → 397
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/45 binary64) (*.f64 #s(literal -2/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2/3 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps #s(literal 3 binary64))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 11/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 11/15 binary64) (*.f64 #s(literal 88/189 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
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(*.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (*.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (-.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 2 binary64))
(neg.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 (neg.f64 eps) #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/3 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(*.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 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/45 binary64) (*.f64 #s(literal -2/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/315 binary64))) #s(literal -2/3 binary64)))))
(*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 eps (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2/15 binary64))))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
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#s(literal 1 binary64)
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(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal -1 binary64) (neg.f64 (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(+.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 eps #s(literal -1/3 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (sqrt.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))
(+.f64 (fma.f64 eps #s(literal -1/3 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(fma.f64 eps #s(literal -1/3 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 (neg.f64 eps) #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (fma.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal -1 binary64) (neg.f64 (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (fma.f64 eps #s(literal -1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))

eval1.4s (3.5%)

Compiler

Compiled 52738 to 34252 computations (35.1% saved)

prune374.0ms (1%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New8219830
Fresh6713
Picked325
Done189
Total83126857
Accuracy
100.0%
Counts
857 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
60.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
30.8%
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
87.9%
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
97.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.1%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
60.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
9.4%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
9.3%
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
59.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
59.6%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
58.9%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
24.1%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
98.6%
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
99.2%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.2%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.8%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
97.2%
(tan.f64 eps)
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
97.2%
eps
Compiler

Compiled 1867 to 1145 computations (38.7% saved)

regimes66.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

21.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms
x
18.0ms
eps
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes56.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

18.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms
x
16.0ms
eps
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes54.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

21.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms
x
15.0ms
eps
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

13.0ms
eps
12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Calls

3 calls:

12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms
x
12.0ms
eps
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
98.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(pow.f64 (E.f64) (log.f64 (tan.f64 eps)))
(pow.f64 (sqrt.f64 (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms
x
8.0ms
eps
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
97.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
Outputs
(tan.f64 eps)
Calls

2 calls:

5.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
eps
Outputs
eps
Calls

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify59.0ms (0.2%)

Algorithm
egg-herbie
Rules
260×distribute-lft-neg-in
234×unsub-neg
166×distribute-neg-in
150×neg-sub0
148×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098846
1166818
2237814
3347814
4479814
5665814
6860814
7966814
81034814
91076814
101093814
111096814
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 eps)
eps
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (cos.f64 x))))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 (log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (neg.f64 eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 #s(literal 1 binary64) (tan.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 x) (/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))) (+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (fma.f64 eps #s(literal 1/3 binary64) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (tan.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (tan.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 eps)
eps
Compiler

Compiled 231 to 162 computations (29.9% saved)

soundness1.7s (4.3%)

Rules
1766×prod-diff
1376×fma-define
1286×fma-define
1256×fma-neg
1126×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
115647
2234647
069724787
1180420624
2618819214
042334
1688260
054883
1959881
035110553
18859844
229029429
091244662
1258843082
097749369
1275446449
050833
1783580
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2650 to 1758 computations (33.7% saved)

end0.0ms (0%)

preprocess142.0ms (0.4%)

Compiler

Compiled 476 to 304 computations (36.1% saved)

Profiling

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