2tan (problem 3.3.2)

Time bar (total: 22.0s)

analyze64.0ms (0.3%)

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: 19.0ms, 49.0% of total-time
Operation ival-<, time spent: 4.0ms, 10.0% 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: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample6.9s (31.5%)

Results
4.1s26171×256precondition
2.1s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
Operation ival-tan, time spent: 994.0ms, 31.0% of total-time
Operation ival-<, time spent: 401.0ms, 12.0% of total-time
Operation ival-<=, time spent: 398.0ms, 12.0% of total-time
Operation ival-mult, time spent: 366.0ms, 11.0% of total-time
Operation ival-fabs, time spent: 324.0ms, 10.0% of total-time
Operation ival-add, time spent: 290.0ms, 9.0% of total-time
Operation ival-sub, time spent: 264.0ms, 8.0% of total-time
Operation ival-and, time spent: 133.0ms, 4.0% of total-time
Operation const, time spent: 72.0ms, 2.0% of total-time
Bogosity

preprocess149.0ms (0.7%)

Algorithm
egg-herbie
Rules
154×fmm-def
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2233(-8.161142820397844e-107 7.408761186917166e-109)8(-2.2001070465080254e-115 2.9637021807701684e-117)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
40-1(-49.185392735106284 1.611946108321892e-12)(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
7722210
8764210
9770210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-tan, time spent: 13.0ms, 58.0% of total-time
Operation ival-add, time spent: 6.0ms, 27.0% of total-time
Operation ival-sub, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize37.0ms (0.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(tan.f64 (+.f64 x eps))
66.0%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-tan, time spent: 7.0ms, 60.0% of total-time
Operation ival-add, time spent: 3.0ms, 26.0% of total-time
Operation ival-sub, time spent: 1.0ms, 9.0% 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
5.0ms
x
@0
(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))
1.0ms
x
@inf
(- (tan (+ x eps)) (tan x))

rewrite384.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
929×log1p-expm1-u
929×expm1-log1p-u
883×prod-diff
342×fma-define
169×fmm-def
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)))
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
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(/.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))))
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(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)))

simplify147.0ms (0.7%)

Algorithm
egg-herbie
Rules
526×distribute-lft-in
523×distribute-rgt-in
352×associate-+l+
341×fmm-def
313×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035110553
19009844
229269429
Stop Event
node limit
Counts
165 → 192
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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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 (sin.f64 eps) (/.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)))) (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 (*.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 (sin.f64 eps) (/.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)))) (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 (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 (+.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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(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))

eval76.0ms (0.3%)

Compiler

Compiled 5638 to 2528 computations (55.2% saved)

prune47.0ms (0.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New17220192
Fresh000
Picked011
Done000
Total17221193
Accuracy
100.0%
Counts
193 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.0%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
32.0%
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
65.7%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
27.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
65.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
25.8%
(/.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))))
96.9%
(/.f64 (sin.f64 eps) (cos.f64 eps))
31.8%
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
66.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
65.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
10.6%
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
10.6%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
26.8%
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
97.4%
(+.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)))
31.7%
(*.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))))
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))))))
98.6%
(*.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)))))
99.4%
(*.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)))))))
64.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 875 to 574 computations (34.4% saved)

localize3.5s (15.8%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
82.5%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
100.0%
(log1p.f64 (tan.f64 (+.f64 x eps)))
99.9%
(tan.f64 (+.f64 x eps))
82.5%
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
55.9%
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
100.0%
(log.f64 (tan.f64 (+.f64 x eps)))
99.9%
(tan.f64 (+.f64 x eps))
95.6%
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
82.5%
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
99.9%
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
99.9%
(*.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))))
99.8%
(*.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))))))))
99.2%
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
Compiler

Compiled 1035 to 646 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.6s
Operation ival-pow, time spent: 942.0ms, 37.0% of total-time
Operation ival-div, time spent: 790.0ms, 31.0% of total-time
Operation ival-mult, time spent: 376.0ms, 15.0% of total-time
Operation ival-sub, time spent: 155.0ms, 6.0% of total-time
Operation ival-add, time spent: 129.0ms, 5.0% of total-time
Operation const, time spent: 56.0ms, 2.0% of total-time
Operation ival-log, time spent: 34.0ms, 1.0% of total-time
Operation composed, time spent: 30.0ms, 1.0% of total-time
Operation ival-exp, time spent: 17.0ms, 1.0% of total-time
Operation ival-sin, time spent: 15.0ms, 1.0% of total-time
Operation ival-tan, time spent: 14.0ms, 1.0% of total-time
Operation ival-cos, time spent: 9.0ms, 0.0% of total-time

series489.0ms (2.2%)

Counts
15 → 272
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))>
#<alt (exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))>
#<alt (log.f64 (tan.f64 (+.f64 x eps)))>
#<alt (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))>
#<alt (log1p.f64 (tan.f64 (+.f64 x eps)))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))>
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))>
#<alt (*.f64 (tan.f64 x) (tan.f64 eps))>
Outputs
#<alt #s(literal -1/3 binary64)>
#<alt (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))>
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#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
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#<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)))>
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#<alt (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))>
#<alt (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))>
#<alt (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))>
#<alt (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))>
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#<alt (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (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
75.0ms
x
@-inf
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
64.0ms
x
@inf
(log (tan (+ x eps)))
62.0ms
eps
@-inf
(log (tan (+ x eps)))
31.0ms
x
@-inf
(log (+ 1 (tan (+ x eps))))
30.0ms
eps
@-inf
(log (+ 1 (tan (+ x eps))))

rewrite257.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
448×log1p-expm1-u
448×expm1-log1p-u
426×add-exp-log
426×add-cube-cbrt
423×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054898
1964896
Stop Event
node limit
Counts
15 → 346
Calls
Call 1
Inputs
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(log1p.f64 (tan.f64 (+.f64 x eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 x) (tan.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))))
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(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(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 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.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 (cbrt.f64 (pow.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))))
(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))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(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)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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)))
(tan.f64 (+.f64 x eps))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))

simplify653.0ms (3%)

Algorithm
egg-herbie
Rules
651×fma-define
567×associate-*r*
491×distribute-lft-in
490×distribute-rgt-in
280×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101952332
1278649442
Stop Event
node limit
Counts
618 → 519
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))
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eps
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(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 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 #s(literal 0 binary64) (log1p.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(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 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.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 (cbrt.f64 (pow.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))))
(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))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(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)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 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)))
(tan.f64 (+.f64 x eps))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
Outputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -248/135 binary64) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) eps)
(+.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) eps))
(fma.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/3 binary64) eps))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4/3 binary64) eps)))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 #s(literal -1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -4/3 binary64) eps))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -17/9 binary64) eps))) (*.f64 #s(literal -1/3 binary64) eps))
(+.f64 (*.f64 #s(literal -1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -17/9 binary64) eps) (*.f64 #s(literal -248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
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(fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
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eps
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (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))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (neg.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.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 (tan.f64 eps) (tan.f64 x))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(+.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (tan.f64 eps) (tan.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(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))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(+.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(+.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (tan.f64 eps) (tan.f64 x))
(+.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(tan.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 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.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))))
(tan.f64 (+.f64 x eps))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(tan.f64 (+.f64 x eps))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(tan.f64 (+.f64 x eps))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 (+.f64 x eps))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(tan.f64 (+.f64 x eps))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 x eps))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 x eps))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 x eps))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(tan.f64 (+.f64 x eps))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 x eps))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 0 binary64))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(*.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(*.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))
(*.f64 (tan.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
(*.f64 (tan.f64 eps) (tan.f64 x))

eval740.0ms (3.4%)

Compiler

Compiled 32548 to 18815 computations (42.2% saved)

prune148.0ms (0.7%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New71615731
Fresh41115
Picked235
Done011
Total72230752
Accuracy
100.0%
Counts
752 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
65.7%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
27.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
33.7%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
65.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
25.8%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
96.9%
(/.f64 (sin.f64 eps) (cos.f64 eps))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
31.8%
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
66.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
65.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
10.6%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
10.6%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
26.8%
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
35.9%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
97.4%
(+.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)))
98.4%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.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))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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))))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.4%
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.6%
(*.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)))))
96.9%
(tan.f64 eps)
64.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
88.0%
(exp.f64 (log.f64 (tan.f64 eps)))
35.9%
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
96.9%
eps
Compiler

Compiled 1207 to 825 computations (31.6% saved)

localize1.7s (7.5%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
99.7%
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
99.7%
(*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
99.7%
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
99.8%
(tan.f64 (+.f64 x eps))
99.0%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
98.8%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
66.0%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
36.5%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
99.9%
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
99.8%
(*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))
99.7%
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
99.6%
(*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
Compiler

Compiled 904 to 550 computations (39.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0s
Operation ival-pow, time spent: 526.0ms, 52.0% of total-time
Operation ival-mult, time spent: 265.0ms, 26.0% of total-time
Operation ival-div, time spent: 87.0ms, 9.0% of total-time
Operation ival-add, time spent: 62.0ms, 6.0% of total-time
Operation const, time spent: 30.0ms, 3.0% of total-time
Operation ival-sub, time spent: 21.0ms, 2.0% of total-time
Operation ival-tan, time spent: 9.0ms, 1.0% of total-time
Operation ival-sin, time spent: 4.0ms, 0.0% of total-time
Operation ival-cos, time spent: 3.0ms, 0.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 0.0% of total-time

series70.0ms (0.3%)

Counts
12 → 121
Calls
Call 1
Inputs
#<alt (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))>
#<alt (pow.f64 (sin.f64 x) #s(literal 4 binary64))>
#<alt (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (tan.f64 eps) #s(literal 3 binary64))>
#<alt (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 #s(literal 4/3 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 17/9 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/135 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
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#<alt (cbrt.f64 (-.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 (cbrt.f64 (-.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 (cbrt.f64 (-.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 (cbrt.f64 (-.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 #s(literal 4/3 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) x)))>
#<alt (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -4/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
Calls

54 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
6.0ms
eps
@0
(cbrt (- (tan (+ x eps)) (tan x)))
5.0ms
eps
@-inf
(cbrt (- (tan (+ x eps)) (tan x)))
3.0ms
x
@inf
(* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))
3.0ms
x
@-inf
(* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))

rewrite132.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
441×log1p-expm1-u
441×expm1-log1p-u
422×pow1
415×add-exp-log
412×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054558
1985529
Stop Event
node limit
Counts
12 → 206
Calls
Call 1
Inputs
(*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(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 #s(literal 4/3 binary64) (*.f64 eps x))
(*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))) #s(literal 3 binary64))
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(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (*.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 #s(literal 4/3 binary64) eps) x (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))

simplify372.0ms (1.7%)

Algorithm
egg-herbie
Rules
486×times-frac
472×associate-*r*
414×fma-define
399×associate-*l*
345×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081112884923875
1199612884922610
2663712884922291
Stop Event
node limit
Counts
327 → 385
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) eps)
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 17/9 binary64) eps))))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/135 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) 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 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
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eps
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64/27 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 4/3 binary64)) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 #s(literal 4/3 binary64) eps) x (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/3 binary64) eps)
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 eps (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 17/9 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 4/3 binary64))) (*.f64 #s(literal 1/3 binary64) eps))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 17/9 binary64) eps))))))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 17/9 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 17/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 248/135 binary64)))) (*.f64 eps #s(literal 4/3 binary64))) (*.f64 #s(literal 1/3 binary64) eps))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/9 binary64) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/135 binary64) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/135 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -62/945 binary64) #s(literal -17/135 binary64)) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))
(*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))))
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(pow.f64 x #s(literal 4 binary64))
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eps
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eval665.0ms (3%)

Compiler

Compiled 25975 to 15579 computations (40% saved)

prune138.0ms (0.6%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New56413577
Fresh81321
Picked325
Done134
Total57631607
Accuracy
100.0%
Counts
607 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
65.7%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
27.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
64.8%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
33.7%
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
33.6%
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
31.9%
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))
31.8%
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
65.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
96.4%
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
97.1%
(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))
31.8%
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
66.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
65.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
10.6%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
10.6%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
26.8%
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
97.4%
(+.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)))
98.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps 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 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.4%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.6%
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
96.9%
(tan.f64 eps)
64.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
35.9%
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
96.9%
eps
Compiler

Compiled 1179 to 827 computations (29.9% saved)

localize1.6s (7.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
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)))))
99.9%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
99.0%
(cbrt.f64 (*.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))))))
98.8%
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 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)))
100.0%
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
99.9%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
99.5%
(*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))
96.9%
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))
36.5%
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
99.9%
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
99.8%
(*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
99.6%
(*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))
Compiler

Compiled 651 to 387 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 933.0ms
Operation ival-pow, time spent: 529.0ms, 57.0% of total-time
Operation ival-mult, time spent: 223.0ms, 24.0% of total-time
Operation ival-sub, time spent: 44.0ms, 5.0% of total-time
Operation composed, time spent: 38.0ms, 4.0% of total-time
Operation ival-add, time spent: 24.0ms, 3.0% of total-time
Operation const, time spent: 22.0ms, 2.0% of total-time
Operation ival-div, time spent: 21.0ms, 2.0% of total-time
Operation ival-exp, time spent: 9.0ms, 1.0% of total-time
Operation ival-tan, time spent: 6.0ms, 1.0% of total-time
Operation ival-log, time spent: 5.0ms, 1.0% of total-time
Operation ival-sin, time spent: 4.0ms, 0.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 0.0% of total-time
Operation ival-cos, time spent: 3.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series127.0ms (0.6%)

Counts
14 → 172
Calls
Call 1
Inputs
#<alt (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))>
#<alt (pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<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 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.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 (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)))))>
Outputs
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 17/9 binary64) eps))))))>
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#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (pow.f64 eps #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 11/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 11/15 binary64) (*.f64 #s(literal 88/189 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 eps))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7/30 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 7/30 binary64) (*.f64 #s(literal 62/945 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<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 (*.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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 (pow.f64 x #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))))>
#<alt (*.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)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 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 (*.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 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 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 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 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 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 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 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 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt 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 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 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 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 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 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 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 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 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 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 eps)>
#<alt (+.f64 (cbrt.f64 eps) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (cbrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 eps)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 #s(literal 1/3 binary64) eps))))))))>
#<alt (+.f64 (cbrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 17/45 binary64) eps) (+.f64 (*.f64 #s(literal 1/27 binary64) eps) (*.f64 #s(literal 2/3 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 #s(literal 1/3 binary64) eps)))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 #s(literal 1/3 binary64) eps)))))))))>
#<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))))))>
Calls

60 calls:

TimeVariablePointExpression
58.0ms
eps
@inf
(* 3 (log (tan eps)))
19.0ms
eps
@-inf
(* 3 (log (tan eps)))
5.0ms
x
@0
(cbrt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
4.0ms
eps
@-inf
(pow (cbrt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) 3)
3.0ms
eps
@inf
(* eps (- 1/3 (+ (* -1 (* (pow (sin x) 2) (pow (cos x) -2))) (- (* -1/3 (* (pow (sin x) 2) (pow (cos x) -2))) (* (pow (sin x) 4) (pow (cos x) -4))))))

rewrite176.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
328×pow1
327×add-exp-log
326×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050685
1811431
Stop Event
node limit
Counts
14 → 279
Calls
Call 1
Inputs
(*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))
(*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))
(*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (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 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
(cbrt.f64 (*.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))))))
(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)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 1 binary64)))
(tan.f64 eps)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (tan.f64 eps)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (log.f64 (tan.f64 eps)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (tan.f64 eps))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (sqrt.f64 (log.f64 (tan.f64 eps)))) (sqrt.f64 (log.f64 (tan.f64 eps))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 3 binary64)))
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(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))

simplify432.0ms (2%)

Algorithm
egg-herbie
Rules
463×times-frac
448×associate-*r*
385×associate-*l*
357×associate-+l+
340×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068720305
1152219637
2478418537
Stop Event
node limit
Counts
451 → 424
Calls
Call 1
Inputs
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(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 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 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/3 binary64) eps)
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 17/9 binary64) eps))))))
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(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -62/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/135 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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eps
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(pow.f64 x #s(literal 2 binary64))
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eps
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 1 binary64))
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 1/3 binary64)))
(pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(+.f64 (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 1/3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 1/3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 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 1/3 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #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 -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
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eps
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(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps)) #s(literal 2 binary64))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 2 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) #s(literal 3 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)))
(+.f64 #s(literal 0 binary64) (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps #s(literal 1 binary64)))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)

eval729.0ms (3.3%)

Compiler

Compiled 27678 to 18222 computations (34.2% saved)

prune226.0ms (1%)

Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New74420764
Fresh81321
Picked415
Done055
Total75639795
Accuracy
100.0%
Counts
795 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
65.7%
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
27.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
64.8%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
95.4%
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64)) #s(literal 3 binary64))
94.5%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64)) #s(literal 3 binary64))
33.7%
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
14.1%
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))
14.1%
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
88.7%
(pow.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
89.8%
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
96.4%
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
31.9%
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))
31.8%
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
65.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
96.4%
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
96.4%
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
97.1%
(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))
31.8%
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
66.0%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
65.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
65.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
26.8%
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
98.6%
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
97.4%
(+.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)))
97.2%
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
98.6%
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
98.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.3%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.5%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
98.6%
(*.f64 eps (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
96.9%
(tan.f64 eps)
7.5%
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
89.7%
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
64.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
96.9%
eps
Compiler

Compiled 2183 to 1361 computations (37.7% saved)

regimes68.0ms (0.3%)

Counts
69 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(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 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) 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))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.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))))))))) (*.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))
(*.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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (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 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(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 (*.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 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #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 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
Calls

3 calls:

21.0ms
eps
19.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms
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)

regimes59.0ms (0.3%)

Counts
64 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(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 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) 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))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.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))))))))) (*.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))
(*.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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (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 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(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 (*.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)))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

17.0ms
eps
17.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms
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)

regimes59.0ms (0.3%)

Counts
59 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(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 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) 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))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.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))))))))) (*.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))
(*.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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (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 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

16.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms
eps
15.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.2%)

Counts
48 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps)))) #s(literal 1/3 binary64))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(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 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) 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))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (tan.f64 x)) (sqrt.f64 eps))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (log.f64 eps)) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.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)))))) #s(literal 3 binary64))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (+.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))))))))) (*.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) #s(literal 3 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

13.0ms
x
13.0ms
eps
13.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
98.7%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.1%)

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

3 calls:

8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
x
8.0ms
eps
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.6%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
Outputs
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms
eps
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))
Outputs
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
x
3.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
eps
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
97.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
96.9%1x
96.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
96.9%1x
96.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify83.0ms (0.4%)

Algorithm
egg-herbie
Rules
265×distribute-lft-neg-in
215×unsub-neg
145×neg-mul-1
134×neg-sub0
130×cancel-sign-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075669
1142653
2207641
3293641
4394641
5478641
6564641
7695641
8874641
91120641
101390641
111664641
121767641
131802641
141807641
151807641
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(tan.f64 eps)
eps
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -4/3 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64))) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps #s(literal 1/3 binary64)) (-.f64 (neg.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps #s(literal 1/3 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps #s(literal 1/3 binary64)))))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 eps (+.f64 x (*.f64 eps #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(tan.f64 eps)
eps
Compiler

Compiled 186 to 132 computations (29% saved)

soundness1.6s (7.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068720305
1152219637
2478418537
0101952332
1278649442
054898
1964896
050685
1811431
035110553
19009844
229269429
01247
115647
2234647
081112884923875
1199612884922610
2663712884922291
054558
1985529
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2531 to 1569 computations (38% saved)

end0.0ms (0%)

preprocess116.0ms (0.5%)

Compiler

Compiled 382 to 240 computations (37.2% saved)

Profiling

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