2tan (problem 3.3.2)

Time bar (total: 20.1s)

analyze72.0ms (0.4%)

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: 38.0ms
Operation ival-tan, time spent: 17.0ms, 45.0% of total-time
Operation ival-<=, time spent: 5.0ms, 13.0% of total-time
Operation ival-mult, time spent: 3.0ms, 8.0% of total-time
Operation ival-fabs, 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 const, time spent: 1.0ms, 3.0% of total-time

sample7.4s (36.7%)

Results
4.3s26080×256precondition
1.5s8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
Operation ival-tan, time spent: 1.4s, 35.0% of total-time
Operation ival-<=, time spent: 606.0ms, 15.0% of total-time
Operation ival-sub, time spent: 389.0ms, 10.0% of total-time
Operation ival-<, time spent: 360.0ms, 9.0% of total-time
Operation ival-fabs, time spent: 353.0ms, 9.0% of total-time
Operation ival-add, time spent: 348.0ms, 9.0% of total-time
Operation ival-mult, time spent: 323.0ms, 8.0% of total-time
Operation ival-and, time spent: 139.0ms, 4.0% of total-time
Operation const, time spent: 79.0ms, 2.0% of total-time
Bogosity

preprocess269.0ms (1.3%)

Algorithm
egg-herbie
Rules
154×fma-neg
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2204(1.1139134580034987e-274 3.2732743653369867e-277)4(-5.693891008208209e-60 2.9447647052174167e-61)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10-0-(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))
Results
62.0ms508×256valid
8.0ms2048valid
1.0ms512valid
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-tan, time spent: 21.0ms, 67.0% of total-time
Operation ival-add, time spent: 6.0ms, 19.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize51.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(tan.f64 (+.f64 x eps))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
31.0ms254×256valid
6.0ms2048valid
0.0ms512valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-tan, time spent: 12.0ms, 56.0% of total-time
Operation ival-sub, time spent: 6.0ms, 28.0% of total-time
Operation ival-add, time spent: 3.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series18.0ms (0.1%)

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
3.0ms
eps
@-inf
(tan (+ x eps))
3.0ms
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))
2.0ms
x
@inf
(- (tan (+ x eps)) (tan x))

rewrite239.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
929×log1p-expm1-u
929×expm1-log1p-u
883×prod-diff
342×fma-define
169×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)))

simplify139.0ms (0.7%)

Algorithm
egg-herbie
Rules
526×distribute-lft-in
523×distribute-rgt-in
352×associate-+l+
319×fma-neg
312×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))))
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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)))
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(-.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))))))
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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 (/.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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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(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
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(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
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eval84.0ms (0.4%)

Compiler

Compiled 5617 to 2509 computations (55.3% saved)

prune68.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New17417191
Fresh000
Picked011
Done000
Total17418192
Accuracy
100.0%
Counts
192 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(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)))
62.6%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
26.6%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
62.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
23.7%
(/.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))))
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
23.7%
(/.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)))))
57.6%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
62.6%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
62.5%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
98.8%
(+.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)))
99.7%
(*.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))))))
99.3%
(*.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)))))
99.6%
(*.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)))))))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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)))))))
61.5%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 1009 to 666 computations (34% saved)

localize1.5s (7.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
99.6%
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
87.4%
(-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
40.9%
(/.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))))
100.0%
(-.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))
62.6%
(-.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))
99.0%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
98.9%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.8%
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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)))))
99.7%
(*.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))))
99.5%
(*.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))))))))
98.5%
(+.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)))))))
Results
1.1s252×256valid
32.0ms8192exit
22.0ms2048valid
8.0ms512valid
12.0ms1024valid
Compiler

Compiled 1025 to 590 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-pow, time spent: 393.0ms, 36.0% of total-time
Operation ival-div, time spent: 224.0ms, 20.0% of total-time
Operation ival-mult, time spent: 138.0ms, 13.0% of total-time
Operation composed, time spent: 97.0ms, 9.0% of total-time
Operation ival-sub, time spent: 69.0ms, 6.0% of total-time
Operation ival-add, time spent: 57.0ms, 5.0% of total-time
Operation ival-neg, time spent: 44.0ms, 4.0% of total-time
Operation const, time spent: 33.0ms, 3.0% of total-time
Operation ival-tan, time spent: 16.0ms, 1.0% of total-time
Operation ival-sin, time spent: 14.0ms, 1.0% of total-time
Operation ival-cos, time spent: 11.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 0.0% of total-time

series200.0ms (1%)

Counts
14 → 304
Calls
Call 1
Inputs
#<alt (+.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)))))))>
#<alt (*.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))))))))>
#<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 #s(literal -1 binary64) (-.f64 (*.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 (*.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)))))>
#<alt (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))>
#<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))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))>
#<alt (/.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))))>
#<alt (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))>
#<alt (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))>
#<alt (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))>
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 1/6 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)))))))>
#<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 (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)))))))>
#<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 (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)))))))>
#<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 (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)))))))>
#<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 (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)))))))>
#<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 (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)))))))>
#<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 (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)))))))>
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#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 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 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal 2 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)))) (pow.f64 (-.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))))) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 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 3 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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 2 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 eps (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 x))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #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)))))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.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))))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 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)))) (pow.f64 (-.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))))) #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)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -2 binary64) (/.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 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 x))))) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal 2 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)))) (pow.f64 (-.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))))) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 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 3 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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))>
#<alt (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64)))>
Calls

78 calls:

TimeVariablePointExpression
25.0ms
eps
@0
(/ (+ (* (tan x) (+ (tan (+ x eps)) (tan x))) (pow (tan (+ x eps)) 2)) (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)))
12.0ms
eps
@-inf
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
9.0ms
eps
@inf
(/ (+ (* (tan x) (+ (tan (+ x eps)) (tan x))) (pow (tan (+ x eps)) 2)) (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)))
9.0ms
x
@0
(/ (+ (* (tan x) (+ (tan (+ x eps)) (tan x))) (pow (tan (+ x eps)) 2)) (- (pow (tan (+ x eps)) 3) (pow (tan x) 3)))
7.0ms
x
@inf
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))

rewrite180.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
427×log1p-expm1-u
427×expm1-log1p-u
414×add-cube-cbrt
409×add-exp-log
409×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0531065
19381065
Stop Event
node limit
Counts
14 → 286
Calls
Call 1
Inputs
(+.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 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 #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 binary64) (-.f64 (*.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 (*.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)))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (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 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(/.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 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
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)) (neg.f64 (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)) (neg.f64 (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))))))))) #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)) (neg.f64 (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)) (neg.f64 (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))))))))
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(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
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(*.f64 (+.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 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 9 binary64)) (pow.f64 (tan.f64 x) #s(literal 9 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))))
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(pow.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
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(exp.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
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(-.f64 (exp.f64 (log1p.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 (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))
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(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
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(*.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (tan.f64 (+.f64 x eps)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))

simplify794.0ms (3.9%)

Algorithm
egg-herbie
Rules
700×distribute-lft-in
698×distribute-rgt-in
360×*-commutative
260×+-commutative
220×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132312884993616
1381212884990763
Stop Event
node limit
Counts
590 → 557
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))
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(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)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(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)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(*.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x 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 1/6 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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #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 (*.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 1/6 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 #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 1/6 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 #s(literal 1/6 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 (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)) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(+.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)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (tan.f64 (+.f64 x eps)) (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))) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (tan.f64 (+.f64 x eps)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64))

eval1.5s (7.4%)

Compiler

Compiled 71467 to 41584 computations (41.8% saved)

prune198.0ms (1%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New89611907
Fresh6612
Picked235
Done011
Total90421925
Accuracy
100.0%
Counts
925 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
26.6%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
61.3%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
96.0%
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
62.5%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
97.4%
(pow.f64 (cbrt.f64 (*.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)))))))) #s(literal 3 binary64))
98.2%
(/.f64 (sin.f64 eps) (cos.f64 eps))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (*.f64 #s(literal 3 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)))))))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
57.6%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
46.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
62.6%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
99.3%
(*.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)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 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))))) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
99.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #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)))))))
99.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))))
61.5%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 798 to 566 computations (29.1% saved)

localize891.0ms (4.4%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
99.8%
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
82.2%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
79.0%
(sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
100.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
100.0%
(sin.f64 (+.f64 x eps))
100.0%
(cos.f64 (+.f64 x eps))
82.2%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
100.0%
(tan.f64 (+.f64 x eps))
99.5%
(cbrt.f64 (tan.f64 (+.f64 x eps)))
99.5%
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
82.2%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
100.0%
(*.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))))))
99.9%
(-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))
99.9%
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))
99.8%
(*.f64 eps #s(literal -1/3 binary64))
Results
304.0ms137×256invalid
359.0ms119×256valid
Compiler

Compiled 445 to 220 computations (50.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 575.0ms
Operation ival-sub, time spent: 229.0ms, 40.0% of total-time
Operation ival-pow, time spent: 151.0ms, 26.0% of total-time
Operation ival-div, time spent: 54.0ms, 9.0% of total-time
Operation ival-mult, time spent: 54.0ms, 9.0% of total-time
Operation ival-cos, time spent: 26.0ms, 5.0% of total-time
Operation ival-neg, time spent: 17.0ms, 3.0% of total-time
Operation const, time spent: 11.0ms, 2.0% of total-time
Operation ival-add, time spent: 8.0ms, 1.0% of total-time
Operation ival-sin, time spent: 8.0ms, 1.0% of total-time
Operation ival-tan, time spent: 8.0ms, 1.0% of total-time
Operation composed, time spent: 4.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 3.0ms, 1.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 0.0% of total-time

series72.0ms (0.4%)

Counts
15 → 324
Calls
Call 1
Inputs
#<alt (*.f64 eps #s(literal -1/3 binary64))>
#<alt (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))>
#<alt (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))>
#<alt (*.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))))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))>
#<alt (-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))>
#<alt (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (tan.f64 (+.f64 x eps)))>
#<alt (fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))>
#<alt (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<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 1/3 binary64) eps) (/.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))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.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))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.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))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))>
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#<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 x (sin.f64 eps)) (cos.f64 eps))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))) (*.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))) (*.f64 #s(literal 2/15 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))) (*.f64 #s(literal 2/15 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(cbrt (tan (+ x eps)))
5.0ms
eps
@0
(cbrt (tan (+ x eps)))
3.0ms
x
@0
(cbrt (tan (+ x eps)))
3.0ms
x
@0
(* eps (* -1 (- (* eps -1/3) (/ (* (sin x) (- 1 (neg (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
2.0ms
x
@0
(pow (cbrt (tan (+ x eps))) 3)

rewrite166.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
396×log1p-expm1-u
396×expm1-log1p-u
388×add-cube-cbrt
386×add-exp-log
383×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051581
1931581
Stop Event
node limit
Counts
15 → 324
Calls
Call 1
Inputs
(*.f64 eps #s(literal -1/3 binary64))
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))
(-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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 (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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(cbrt.f64 (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(cos.f64 (+.f64 x eps))
(sin.f64 (+.f64 x eps))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal -1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))))
(log1p.f64 (expm1.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))))
(exp.f64 (log.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 (-.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 eps x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.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 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #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 (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 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (+.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 (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 (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))
(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 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 (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 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (*.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))))
(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)))

simplify527.0ms (2.6%)

Algorithm
egg-herbie
Rules
766×fma-define
440×distribute-lft-in
439×distribute-rgt-in
334×*-commutative
272×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122525769845934
1323125769843872
Stop Event
node limit
Counts
648 → 605
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(/.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 1/3 binary64) eps) (/.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 #s(literal 1/3 binary64) eps) (/.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 #s(literal 1/3 binary64) eps) (/.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 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.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))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/15 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) (/.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 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) (/.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 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) (/.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 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) eps) (/.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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x
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eps
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.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 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #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 (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 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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 (+.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 (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 (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))
(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 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)) (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 (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 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (*.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))))
(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
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(*.f64 #s(literal -1/3 binary64) eps)
(/.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 (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 1/3 binary64) eps) (/.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 (fma.f64 #s(literal 1/3 binary64) 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 (fma.f64 eps #s(literal 1/3 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 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.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 (fma.f64 #s(literal 1/3 binary64) 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 (fma.f64 eps #s(literal 1/3 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 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.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 (fma.f64 #s(literal 1/3 binary64) 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 (fma.f64 eps #s(literal 1/3 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 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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))))) (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 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)))) (*.f64 eps (cos.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.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 eps (cos.f64 x))) #s(literal 1/3 binary64)))
(*.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 eps x))
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)))
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eps
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(*.f64 eps (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(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))

eval568.0ms (2.8%)

Compiler

Compiled 24660 to 13067 computations (47% saved)

prune326.0ms (1.6%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New67812690
Fresh4812
Picked235
Done224
Total68625711
Accuracy
100.0%
Counts
711 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
26.6%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
97.4%
(pow.f64 (cbrt.f64 (*.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)))))))) #s(literal 3 binary64))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (*.f64 #s(literal 3 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)))))))
22.7%
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
57.6%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
46.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
62.6%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
99.3%
(*.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 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/15 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
99.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.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)))))))
99.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x)) (neg.f64 (/.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 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 277/1008 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)))))))
99.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/120 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)))))))
99.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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)))))))
99.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 x (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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)))))))
98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
97.9%
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
98.2%
(tan.f64 eps)
61.5%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
98.2%
eps
Compiler

Compiled 1060 to 776 computations (26.8% saved)

localize897.0ms (4.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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)))))
99.8%
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x)))))
99.8%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64))
99.5%
(*.f64 eps #s(literal -1/3 binary64))
100.0%
(*.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)))))
100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
99.9%
(tan.f64 (+.f64 x eps))
91.0%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(*.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))))
100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
100.0%
(*.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)))
99.8%
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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)))))
Results
641.0ms253×256valid
18.0ms8192exit
15.0ms2048valid
11.0ms512valid
Compiler

Compiled 497 to 291 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 561.0ms
Operation ival-mult, time spent: 229.0ms, 41.0% of total-time
Operation ival-pow, time spent: 160.0ms, 29.0% of total-time
Operation ival-div, time spent: 59.0ms, 11.0% of total-time
Operation ival-add, time spent: 42.0ms, 7.0% of total-time
Operation const, time spent: 17.0ms, 3.0% of total-time
Operation ival-tan, time spent: 13.0ms, 2.0% of total-time
Operation ival-sub, time spent: 13.0ms, 2.0% of total-time
Operation ival-neg, time spent: 8.0ms, 1.0% of total-time
Operation ival-sin, time spent: 6.0ms, 1.0% of total-time
Operation ival-log, time spent: 6.0ms, 1.0% of total-time
Operation ival-exp, time spent: 5.0ms, 1.0% of total-time
Operation ival-cos, time spent: 4.0ms, 1.0% of total-time

series58.0ms (0.3%)

Counts
12 → 164
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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)))))>
#<alt (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (*.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))))>
#<alt (exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64))>
#<alt (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x)))))>
#<alt (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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)))))>
Outputs
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps x))>
#<alt (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 5/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<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 (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 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 (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 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 (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt x>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.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)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/45 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 5/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps))))))>
#<alt (*.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x))))))>
#<alt (*.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (+.f64 (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (+.f64 (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x))) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (cos.f64 x))) eps))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))))>
#<alt (*.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (+.f64 (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 5/6 binary64) (/.f64 eps (cos.f64 x))) (+.f64 (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 x)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -5/6 binary64) (/.f64 eps (cos.f64 x)))))))>
Calls

54 calls:

TimeVariablePointExpression
22.0ms
eps
@0
(* eps (* -1 (- (* eps -1/3) (/ (* x (+ 1 (* (pow x 2) 5/6))) (cos x)))))
3.0ms
x
@-inf
(/ (pow (sin x) 2) (pow (cos x) 2))
1.0ms
x
@inf
(+ (/ (pow (sin x) 2) (pow (cos x) 2)) (* eps (* (sin x) (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))
1.0ms
x
@-inf
(+ (/ (pow (sin x) 2) (pow (cos x) 2)) (* eps (* (sin x) (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))
1.0ms
x
@-inf
(* eps (* -1 (- (* eps -1/3) (/ (* x (+ 1 (* (pow x 2) 5/6))) (cos x)))))

rewrite236.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
340×log1p-expm1-u
340×expm1-log1p-u
331×add-cube-cbrt
328×add-exp-log
328×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041625
1718445
Stop Event
node limit
Counts
12 → 259
Calls
Call 1
Inputs
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.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))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.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))
(pow.f64 (sin.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64))
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x)))))
(-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 (tan.f64 x) (*.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))) (hypot.f64 (tan.f64 x) (*.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) (/.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 (cos.f64 x))))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

simplify250.0ms (1.2%)

Algorithm
egg-herbie
Rules
542×associate-*r*
517×fma-define
479×associate-*l*
299×*-commutative
299×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087727002
1224725127
Stop Event
node limit
Counts
423 → 505
Calls
Call 1
Inputs
(*.f64 eps x)
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 5/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.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)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/15 binary64) (*.f64 #s(literal 248/315 binary64) (pow.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/45 binary64) (*.f64 #s(literal 62/315 binary64) (pow.f64 x #s(literal 2 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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 x)
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 61/120 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1/24 binary64) eps))))) (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 61/120 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 277/1008 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 61/120 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1/24 binary64) eps)))) (+.f64 (*.f64 #s(literal -1/720 binary64) eps) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1/24 binary64) eps))))) (*.f64 #s(literal -1/2 binary64) eps)))))
(/.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (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)))
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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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#s(literal 1 binary64)
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(pow.f64 x #s(literal 2 binary64))
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eps
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(pow.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
Outputs
(*.f64 eps x)
(*.f64 x (+.f64 eps x))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 5/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (*.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 (/.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 (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))) (*.f64 eps (/.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))))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (/.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 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(*.f64 eps (+.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
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#s(literal 1 binary64)
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eps
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64)) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 x (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

eval813.0ms (4%)

Compiler

Compiled 31645 to 19169 computations (39.4% saved)

prune281.0ms (1.4%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New97313986
Fresh9615
Picked325
Done145
Total986251011
Accuracy
100.0%
Counts
1011 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
98.5%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
97.1%
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
97.4%
(pow.f64 (cbrt.f64 (*.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)))))))) #s(literal 3 binary64))
61.4%
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
22.7%
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
46.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
62.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
62.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
62.6%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
99.3%
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
98.8%
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 277/1008 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)))))))
99.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
99.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/15 binary64))))))))))
99.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
90.4%
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
61.5%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
98.2%
eps
Compiler

Compiled 1678 to 1044 computations (37.8% saved)

regimes213.0ms (1.1%)

Counts
54 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(-.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 x (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/15 binary64))))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.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 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/15 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps)))))) (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 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/120 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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 277/1008 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 (-.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 #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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 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))))) (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) (-.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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))))
(pow.f64 (cbrt.f64 (*.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)))))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (*.f64 #s(literal 3 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 (*.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 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 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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)))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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)))))))
Calls

3 calls:

172.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes186.0ms (0.9%)

Counts
53 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(-.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 x (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/15 binary64))))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.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 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/15 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps)))))) (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 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/120 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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 277/1008 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 (-.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 #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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 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))))) (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) (-.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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))))
(pow.f64 (cbrt.f64 (*.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)))))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (*.f64 #s(literal 3 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 (*.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 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))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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)))))))
Calls

3 calls:

148.0ms
x
15.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms
eps
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes95.0ms (0.5%)

Counts
48 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(-.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 x (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/15 binary64))))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.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 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/15 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) eps)))))) (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 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 61/120 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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 277/1008 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 (-.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 #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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.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 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 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))))) (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) (-.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)))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
Calls

3 calls:

66.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms
eps
12.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.2%)

Counts
38 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(-.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 x (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/15 binary64))))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.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 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 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) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))) (tan.f64 x))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
Calls

3 calls:

13.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
eps
10.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes77.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/6 binary64)))) (cos.f64 x))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
Calls

3 calls:

60.0ms
x
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
eps
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts
25 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/3 binary64)) #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))
(*.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)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
Outputs
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
Calls

3 calls:

7.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
x
6.0ms
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)

regimes11.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
Calls

3 calls:

4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
98.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
Calls

2 calls:

2.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
x
0.0ms
eps
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify143.0ms (0.7%)

Algorithm
egg-herbie
Rules
355×distribute-lft-neg-in
276×unsub-neg
195×neg-mul-1
159×neg-sub0
152×cancel-sign-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083915
1148887
2198879
3306879
4422879
5523879
6685879
7810879
8860879
9887879
10909879
11925879
12936879
13949879
141025879
151195879
161408879
171616879
181811879
191970879
202086879
212154879
222196879
232219879
242221879
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
eps
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.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 (*.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) (-.f64 (*.f64 eps (neg.f64 (-.f64 (*.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) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (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)) (neg.f64 (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)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (neg.f64 (-.f64 (*.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) (/.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 #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))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.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) (/.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 #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)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (-.f64 (/.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 #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) (/.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 #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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (-.f64 (/.f64 (*.f64 (sin.f64 x) (+.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)) (*.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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.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 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))))))))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.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) (-.f64 (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (neg.f64 (-.f64 (*.f64 eps #s(literal -1/3 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 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/3 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/3 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))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (fma.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps x)) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(*.f64 eps (+.f64 (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64)))) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 (*.f64 x (-.f64 eps (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64)))))))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 (*.f64 eps x) #s(literal 1 binary64)))
eps

soundness1.0s (5.1%)

Rules
929×log1p-expm1-u
929×expm1-log1p-u
883×prod-diff
766×fma-define
542×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041625
1718445
087727002
1224725127
0122525769845934
1323125769843872
01247
115647
2234647
035110553
18859844
229029429
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1046 to 557 computations (46.7% saved)

preprocess519.0ms (2.6%)

Compiler

Compiled 506 to 314 computations (37.9% saved)

end0.0ms (0%)

Profiling

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