2tan (problem 3.3.2)

Time bar (total: 28.5s)

analyze85.0ms (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: 25.0ms
ival-tan: 8.0ms (31.8% of total)
ival-mult: 3.0ms (11.9% of total)
ival-fabs: 3.0ms (11.9% of total)
ival-<=: 3.0ms (11.9% of total)
ival-<: 3.0ms (11.9% of total)
ival-add: 2.0ms (8% of total)
ival-sub: 2.0ms (8% of total)
ival-and: 1.0ms (4% of total)
const: 1.0ms (4% of total)

sample8.1s (28.4%)

Results
3.6s26381×0precondition
889.0ms6111×0valid
1.1s2145×1valid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-tan: 1.1s (28.5% of total)
ival-<=: 529.0ms (13.9% of total)
ival-add: 491.0ms (12.9% of total)
ival-<: 435.0ms (11.5% of total)
ival-fabs: 381.0ms (10% of total)
ival-mult: 322.0ms (8.5% of total)
ival-sub: 214.0ms (5.6% of total)
backward-pass: 137.0ms (3.6% of total)
ival-and: 134.0ms (3.5% of total)
const: 72.0ms (1.9% of total)
Bogosity

preprocess66.0ms (0.2%)

Algorithm
egg-herbie
Rules
154×fma-neg
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

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

explain111.0ms (0.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2201(2.1469290671576213e-144 5.511806514861593e-147)4(4.0305591892338855e-106 6.317774256271828e-108)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20-0-(tan.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-eps
Results
60.0ms500×256valid
14.0ms2048valid
4.0ms1024valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-tan: 30.0ms (82.2% of total)
ival-add: 3.0ms (8.2% of total)
ival-sub: 3.0ms (8.2% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize44.0ms (0.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(tan.f64 (+.f64 x eps))
63.8%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
25.0ms250×256valid
9.0ms2048valid
2.0ms1024valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-tan: 14.0ms (82.1% of total)
ival-add: 2.0ms (11.7% of total)
ival-sub: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)

series80.0ms (0.3%)

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
66.0ms
x
@inf
(- (tan (+ x eps)) (tan x))
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))

rewrite268.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify210.0ms (0.7%)

Algorithm
egg-herbie
Rules
526×distribute-lft-in
523×distribute-rgt-in
352×associate-+l+
319×fma-neg
312×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035110553
18859844
229029429
Stop Event
node limit
Counts
165 → 191
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.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))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.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)))
(+.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
(/.f64 (sin.f64 x) (cos.f64 x))
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(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (-.f64 (*.f64 x (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) (neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(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)))
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(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 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
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(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
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(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
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eval200.0ms (0.7%)

Compiler

Compiled 5617 to 2509 computations (55.3% saved)

prune106.0ms (0.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New17318191
Fresh000
Picked011
Done000
Total17319192
Accuracy
100.0%
Counts
192 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(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)))
33.5%
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
24.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
63.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
39.3%
(/.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)))
98.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
63.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
63.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
63.8%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
63.7%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
33.2%
(*.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))))
99.9%
(*.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))))))
100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.0%
(*.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)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
7.6%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 1121 to 722 computations (35.6% saved)

localize2.9s (10.3%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.9%
(sqrt.f64 (tan.f64 (+.f64 x eps)))
99.7%
(*.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 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
81.0%
(-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
81.9%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
99.9%
(tan.f64 (+.f64 x eps))
81.9%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
52.5%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
99.7%
(*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
99.7%
(*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))
99.2%
(-.f64 (fma.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (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))))))
99.2%
(+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (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))))))
Results
537.0ms122×256invalid
1.1s66×1024valid
319.0ms35×512valid
118.0ms28×256valid
62.0ms2048valid
86.0ms8192exit
Compiler

Compiled 1352 to 749 computations (44.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-pow: 780.0ms (34.7% of total)
ival-add: 332.0ms (14.8% of total)
composed: 325.0ms (14.5% of total)
ival-mult: 305.0ms (13.6% of total)
ival-div: 265.0ms (11.8% of total)
const: 59.0ms (2.6% of total)
ival-sub: 57.0ms (2.5% of total)
ival-log: 30.0ms (1.3% of total)
ival-sqrt: 25.0ms (1.1% of total)
ival-tan: 23.0ms (1% of total)
ival-sin: 19.0ms (0.8% of total)
ival-cos: 15.0ms (0.7% of total)
ival-exp: 7.0ms (0.3% of total)
ival-neg: 5.0ms (0.2% of total)

series146.0ms (0.5%)

Counts
13 → 256
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (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))))))>
#<alt (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (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))))))>
#<alt (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))>
#<alt (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))>
#<alt (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))>
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (*.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))>
#<alt (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))>
#<alt (*.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))))>
#<alt (sqrt.f64 (tan.f64 (+.f64 x 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 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
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#<alt (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
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#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 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)))) eps)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))))))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 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)))) eps)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))))))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 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)))) eps)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) x))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (*.f64 eps x)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -4/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/45 binary64))) #s(literal 4/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))>
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#<alt (*.f64 #s(literal -1/3 binary64) x)>
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#<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)))>
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#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 x)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (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))))))) (sin.f64 x))) (*.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))))))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))))))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))>
Calls

66 calls:

TimeVariablePointExpression
14.0ms
eps
@0
(- (sqrt (tan (+ x eps))) (sqrt (tan x)))
13.0ms
x
@inf
(- (+ (* (neg eps) (+ (* (+ 1/6 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow (sin x) 2) (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (sin x) (cos x))) -1/3))) -1/6) (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow (sin x) 2) (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow (cos x) 2)))))
12.0ms
x
@inf
(+ 1/6 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* (pow (sin x) 2) (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (pow (cos x) 2)))))
7.0ms
x
@0
(- (sqrt (tan (+ x eps))) (sqrt (tan x)))
6.0ms
x
@0
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))

rewrite224.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
441×log1p-expm1-u
441×expm1-log1p-u
428×add-cube-cbrt
424×add-exp-log
423×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0551137
19551097
Stop Event
node limit
Counts
13 → 290
Calls
Call 1
Inputs
(+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (fma.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))
(*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 (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 (+.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))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
Outputs
(-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))))
(pow.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))))) #s(literal 3 binary64))
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(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)))
(+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))))
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.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))))))
(log1p.f64 (expm1.f64 (*.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))))))
(exp.f64 (log.f64 (*.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))))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))

simplify841.0ms (3%)

Algorithm
egg-herbie
Rules
749×fma-define
609×distribute-rgt-in
597×distribute-lft-in
311×*-commutative
302×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113979152
1313273905
Stop Event
node limit
Counts
546 → 570
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 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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#s(literal 1/3 binary64)
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(*.f64 #s(literal -1/3 binary64) x)
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(*.f64 #s(literal -1/3 binary64) x)
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eps
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(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)))
(+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (tan.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))))
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.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))))))
(log1p.f64 (expm1.f64 (*.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))))))
(exp.f64 (log.f64 (*.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))))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
Outputs
#s(literal -1/3 binary64)
(-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -248/135 binary64) #s(literal -17/9 binary64)) #s(literal -4/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (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))))) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
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eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2/15 binary64))))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(*.f64 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 (pow.f64 eps #s(literal 2 binary64)) #s(literal 17/315 binary64))))))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.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)))
(+.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 (-.f64 (*.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 #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 (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 (fma.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.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 -1/2 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 (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)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.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 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.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 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(expm1.f64 (log1p.f64 (*.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))))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))))
(log1p.f64 (expm1.f64 (*.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 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (*.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 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (fabs.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/2 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))

eval1.1s (3.9%)

Compiler

Compiled 62353 to 32599 computations (47.7% saved)

prune201.0ms (0.7%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New90213915
Fresh21113
Picked235
Done011
Total90628934
Accuracy
100.0%
Counts
934 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(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)))
33.5%
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
24.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
32.3%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
63.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
39.3%
(/.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)))
63.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
63.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
7.6%
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 binary64))
63.8%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
63.7%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
28.4%
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
12.2%
(*.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
33.2%
(*.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))))
12.2%
(*.f64 (+.f64 (log.f64 (exp.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))))
100.0%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps #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 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.0%
(*.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)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.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)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
98.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
98.0%
(tan.f64 eps)
7.6%
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
7.6%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
89.1%
(exp.f64 (log.f64 (tan.f64 eps)))
98.0%
eps
Compiler

Compiled 1183 to 758 computations (35.9% saved)

localize4.7s (16.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (+.f64 (log.f64 (exp.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 (log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (tan.f64 x)))
81.0%
(-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
55.0%
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
99.9%
(cos.f64 (+.f64 x eps))
99.9%
(sin.f64 (+.f64 x eps))
81.9%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
52.5%
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
100.0%
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
99.9%
(cos.f64 (+.f64 x eps))
99.9%
(sin.f64 (+.f64 x eps))
81.9%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
99.8%
(*.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))))
99.7%
(*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
99.7%
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
Results
1.0s122×256invalid
1.8s66×1024valid
636.0ms35×512valid
191.0ms28×256valid
85.0ms2048valid
108.0ms8192exit
Compiler

Compiled 1844 to 1034 computations (43.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-pow: 1.6s (46.5% of total)
ival-mult: 926.0ms (26.5% of total)
ival-div: 418.0ms (11.9% of total)
ival-add: 259.0ms (7.4% of total)
ival-sub: 77.0ms (2.2% of total)
const: 76.0ms (2.2% of total)
ival-log: 49.0ms (1.4% of total)
ival-exp: 18.0ms (0.5% of total)
ival-cos: 14.0ms (0.4% of total)
ival-tan: 13.0ms (0.4% of total)
ival-sin: 13.0ms (0.4% of total)
ival-sqrt: 7.0ms (0.2% of total)

series155.0ms (0.5%)

Counts
15 → 289
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<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 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))>
#<alt (log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))>
#<alt (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))>
#<alt (+.f64 (log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (tan.f64 x)))>
#<alt (*.f64 (+.f64 (log.f64 (exp.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))))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))>
#<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 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (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 2/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 4/3 binary64) eps) (*.f64 #s(literal 17/9 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 17/18 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/18 binary64) (*.f64 #s(literal 181/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/18 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 181/360 binary64) (*.f64 #s(literal 4157/15120 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<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 (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)))>
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#<alt (*.f64 (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))) (-.f64 (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))>
Calls

81 calls:

TimeVariablePointExpression
71.0ms
eps
@inf
(+ (log (exp (sqrt (tan (+ x eps))))) (sqrt (tan x)))
9.0ms
x
@-inf
(* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -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)))))))
9.0ms
x
@inf
(* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -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
(* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -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
@inf
(* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -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)))))))

rewrite170.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
563×log1p-expm1-u
563×expm1-log1p-u
538×add-exp-log
531×pow1
270×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063804
11239798
Stop Event
node limit
Counts
15 → 311
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.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 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(sin.f64 (+.f64 x eps))
(cos.f64 (+.f64 x eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(sin.f64 (+.f64 x eps))
(cos.f64 (+.f64 x eps))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 (log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (tan.f64 x)))
(*.f64 (+.f64 (log.f64 (exp.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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64)))))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))))))))
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(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 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (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))) (neg.f64 (tan.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))))
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.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))))))
(log1p.f64 (expm1.f64 (*.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))))))
(exp.f64 (log.f64 (*.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))))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))

simplify365.0ms (1.3%)

Algorithm
egg-herbie
Rules
648×fma-define
482×associate-*r*
453×distribute-rgt-in
445×distribute-lft-in
391×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093850854
1245348031
Stop Event
node limit
Counts
600 → 457
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 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 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))
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(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))))
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.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))))))
(log1p.f64 (expm1.f64 (*.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))))))
(exp.f64 (log.f64 (*.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))))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/45 binary64) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2/45 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (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 -17/945 binary64) #s(literal -2/45 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 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 #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 (-.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)))) (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 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (-.f64 #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))))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (/.f64 (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))))) (cos.f64 x))))))))
(*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (/.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)))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x)))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (-.f64 #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))))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (/.f64 (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))))) (cos.f64 x)))))) (/.f64 #s(literal 1/3 binary64) eps)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (/.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)))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))))) (-.f64 (-.f64 (*.f64 (/.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 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (-.f64 #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))))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (/.f64 (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))))) (cos.f64 x)))))) (/.f64 #s(literal 1/3 binary64) eps)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (fabs.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/2 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(log.f64 (pow.f64 (exp.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 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(expm1.f64 (log1p.f64 (*.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))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(log1p.f64 (expm1.f64 (*.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 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(exp.f64 (log.f64 (*.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 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))

eval1.1s (3.8%)

Compiler

Compiled 47999 to 25378 computations (47.1% saved)

prune184.0ms (0.6%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New7495754
Fresh31619
Picked145
Done044
Total75329782
Accuracy
100.0%
Counts
782 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(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)))
33.5%
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
24.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
32.3%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
63.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
39.3%
(/.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)))
59.3%
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
63.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
7.6%
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 binary64))
63.8%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
63.7%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
28.4%
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
12.2%
(*.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
33.2%
(*.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))))
12.2%
(*.f64 (+.f64 (log.f64 (exp.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))))
100.0%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.8%
(*.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))))))
99.6%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.0%
(*.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)))))
98.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
98.0%
(tan.f64 eps)
7.6%
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
7.6%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
89.1%
(exp.f64 (log.f64 (tan.f64 eps)))
98.0%
eps
Compiler

Compiled 1167 to 762 computations (34.7% saved)

localize2.9s (10.3%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.7%
(+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x)))
99.7%
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
84.5%
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
81.0%
(-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
99.9%
(sin.f64 (+.f64 x eps))
99.5%
(cbrt.f64 (sin.f64 (+.f64 x eps)))
99.4%
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
81.9%
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
99.9%
(tan.f64 (+.f64 x eps))
95.5%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
81.9%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.8%
(*.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))))
99.7%
(*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.7%
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
99.7%
(*.f64 #s(literal -1/3 binary64) (tan.f64 x))
Results
976.0ms129×256valid
1.1s122×256invalid
69.0ms1024valid
132.0ms8192exit
Compiler

Compiled 1805 to 1060 computations (41.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-pow: 1.0s (51% of total)
ival-mult: 445.0ms (22% of total)
ival-div: 237.0ms (11.7% of total)
ival-add: 163.0ms (8.1% of total)
const: 48.0ms (2.4% of total)
ival-sub: 45.0ms (2.2% of total)
ival-tan: 17.0ms (0.8% of total)
ival-sin: 8.0ms (0.4% of total)
ival-cos: 7.0ms (0.3% of total)
ival-log: 7.0ms (0.3% of total)
ival-exp: 6.0ms (0.3% of total)
ival-sqrt: 4.0ms (0.2% of total)
ival-cbrt: 2.0ms (0.1% of total)

series158.0ms (0.6%)

Counts
9 → 204
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/3 binary64) (tan.f64 x))>
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))>
#<alt (-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))>
#<alt (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sin.f64 (+.f64 x eps)))>
#<alt (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))>
#<alt (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x)))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<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 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))>
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#<alt (+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (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))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.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 1/4 binary64) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (-.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))))) #s(literal 2 binary64))) (sin.f64 eps)))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.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 1/4 binary64) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (-.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))))) #s(literal 2 binary64))) (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))))))) (sin.f64 eps))) (*.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 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.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)))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 x))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (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))))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 x)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (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))))))) (sin.f64 x))) (*.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))))))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))>
Calls

51 calls:

TimeVariablePointExpression
59.0ms
x
@inf
(cbrt (sin (+ x eps)))
27.0ms
eps
@inf
(pow (tan (+ x eps)) 3/2)
10.0ms
x
@0
(pow (tan (+ x eps)) 3/2)
6.0ms
eps
@0
(pow (tan (+ x eps)) 3/2)
2.0ms
x
@inf
(* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (tan x)) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -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)))))))

rewrite131.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
553×log1p-expm1-u
553×expm1-log1p-u
523×add-exp-log
522×pow1
267×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063582
11223572
Stop Event
node limit
Counts
9 → 192
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (tan.f64 x))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(cbrt.f64 (sin.f64 (+.f64 x eps)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64))) (*.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.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)))) (cos.f64 x))) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal -3 binary64))) (*.f64 (sin.f64 x) (/.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))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal -4 binary64))))) (cos.f64 x))))))) #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 -1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 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))
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(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (sqrt.f64 (tan.f64 x)))

simplify353.0ms (1.2%)

Algorithm
egg-herbie
Rules
656×associate-*r*
607×fma-define
496×associate-*l*
395×distribute-rgt-in
394×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092225769844235
1253525769842268
Stop Event
node limit
Counts
396 → 366
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.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 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 eps (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)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))
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(fma.f64 #s(literal 1 binary64) (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))) (neg.f64 (tan.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 1/3 binary64)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (sqrt.f64 (tan.f64 x)))
Outputs
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2/45 binary64) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/45 binary64))) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -17/945 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2/45 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (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 -17/945 binary64) #s(literal -2/45 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))
(*.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 #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))))))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (fabs.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(log.f64 (exp.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1/2 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(sqrt.f64 (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/4 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3/2 binary64)))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 3 binary64)))
(*.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (+.f64 (tan.f64 x) (-.f64 (tan.f64 (+.f64 x eps)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 2 binary64))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) #s(literal 3 binary64)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(fma.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1/4 binary64)) (sqrt.f64 (tan.f64 x)))
(+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 (+.f64 x eps))))

eval1.1s (3.8%)

Compiler

Compiled 53793 to 29299 computations (45.5% saved)

prune347.0ms (1.2%)

Pruning

33 alts after pruning (21 fresh and 12 done)

PrunedKeptTotal
New8415846
Fresh01616
Picked145
Done088
Total84233875
Accuracy
100.0%
Counts
875 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(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)))
33.5%
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
24.9%
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
32.3%
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
62.7%
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
63.6%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
39.3%
(/.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)))
59.3%
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.8%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
63.7%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.7%
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
7.6%
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 binary64))
63.8%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
63.7%
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
28.4%
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
30.7%
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 x))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (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))))))))))
12.2%
(*.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
33.2%
(*.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))))
12.2%
(*.f64 (+.f64 (log.f64 (exp.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))))
100.0%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.8%
(*.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))))))
99.6%
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
99.0%
(*.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)))))
98.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
98.0%
(tan.f64 eps)
7.6%
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
7.6%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
33.2%
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))))
62.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
90.1%
(exp.f64 (log.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)))))))
89.1%
(exp.f64 (log.f64 (tan.f64 eps)))
98.0%
eps
Compiler

Compiled 2196 to 1273 computations (42% saved)

regimes41.0ms (0.1%)

Counts
42 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(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))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.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 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 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)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.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)))))))
(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 (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)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))))
(*.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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (+.f64 (log.f64 (exp.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 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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)))))) (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 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (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 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps #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 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.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 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 x))))) (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 (+.f64 #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))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Outputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
Calls

3 calls:

12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.2%)

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

3 calls:

26.0ms
x
11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
eps
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(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))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.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 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 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)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.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)))))))
(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 (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)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))))
(*.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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (+.f64 (log.f64 (exp.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 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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)))))) (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 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) (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 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps #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 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (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 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
Outputs
(*.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))))))
Calls

3 calls:

12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms
eps
9.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes74.0ms (0.3%)

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

3 calls:

54.0ms
x
9.0ms
eps
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(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))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.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 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 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)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(exp.f64 (log.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)))))))
(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 (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)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))))
(*.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 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (+.f64 (log.f64 (exp.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 (+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Calls

3 calls:

8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
99.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 eps)))
(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))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.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 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
Outputs
(tan.f64 eps)
Calls

3 calls:

5.0ms
x
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
eps
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
98.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
x
0.0ms
eps
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify110.0ms (0.4%)

Algorithm
egg-herbie
Rules
351×distribute-lft-neg-in
301×unsub-neg
190×neg-mul-1
165×neg-sub0
143×distribute-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981227
11921159
22981147
34571147
46931147
59681147
612611147
714971147
817251147
919261147
1020861147
1122101147
1222791147
1323071147
1423111147
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.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 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (tan.f64 x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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(tan.f64 eps)
eps

soundness1.6s (5.5%)

Rules
929×log1p-expm1-u
929×expm1-log1p-u
883×prod-diff
749×fma-define
648×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113979152
1313273905
0551137
19551097
093850854
1245348031
063804
11239798
035110553
18859844
229029429
01247
115647
2234647
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2975 to 1870 computations (37.1% saved)

preprocess165.0ms (0.6%)

Compiler

Compiled 648 to 396 computations (38.9% saved)

end0.0ms (0%)

Profiling

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