2tan (problem 3.3.2)

Time bar (total: 17.8s)

analyze45.0ms (0.3%)

Algorithm
1×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%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample8.0s (45.1%)

Samples
4.0s26 410×0invalid
1.1s4 423×1valid
489.0ms3 833×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
ival-tan: 818.0ms (22.6% of total)
...in/eval/compile.rkt:71:19: 748.0ms (20.6% of total)
ival-add: 613.0ms (16.9% of total)
ival-<=: 319.0ms (8.8% of total)
ival-mult: 264.0ms (7.3% of total)
ival-fabs: 200.0ms (5.5% of total)
ival-sub: 196.0ms (5.4% of total)
ival-<: 175.0ms (4.8% of total)
ival-and: 126.0ms (3.5% of total)
adjust: 113.0ms (3.1% of total)
...in/eval/compile.rkt:70:19: 35.0ms (1% of total)
ival-assert: 17.0ms (0.5% of total)
Bogosity

preprocess134.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
154×fmm-def
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
7722210
8764210
9770210
Stop Event
1×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))

explain137.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2211(4.342011894955002e-223 2.714972118453354e-225)1(-1.4215171750091102e-270 1.4709247519441561e-272)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
50-1(-91.15659570375483 1.0231693213803073)(tan.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))cancellation2215
tan.f64(tan.f64 (+.f64 x eps))sensitivity41
Confusion
Predicted +Predicted -
+2221
-132
Precision
0.9955156950672646
Recall
0.9955156950672646
Confusion?
Predicted +Predicted MaybePredicted -
+22210
-1527
Precision?
0.9737991266375546
Recall?
1.0
Freqs
test
numberfreq
033
1221
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms288×1valid
20.0ms222×0valid
1.0ms2×3valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-tan: 19.0ms (49.4% of total)
ival-sub: 10.0ms (26% of total)
adjust: 5.0ms (13% of total)
ival-add: 4.0ms (10.4% of total)
ival-true: 1.0ms (2.6% of total)
ival-assert: 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
▶60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify24.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
9×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

localize41.0ms (0.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(tan.f64 x)
✓accuracy99.8%
(tan.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Samples
17.0ms144×1valid
7.0ms111×0valid
0.0ms1×3valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-tan: 5.0ms (40.7% of total)
adjust: 2.0ms (16.3% of total)
ival-add: 2.0ms (16.3% of total)
ival-sub: 2.0ms (16.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))>
#<alt (tan.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (tan.f64 x)>
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))))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
Calls

21 calls:

TimeVariablePointExpression
9.0ms
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))

rewrite293.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
115668
2234668
Stop Event
1×node limit
Counts
4 → 178
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 x)
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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))

simplify186.0ms (1%)

Algorithm
1×egg-herbie
Rules
638×times-frac
457×fmm-def
447×cancel-sign-sub-inv
277×distribute-lft-neg-in
261×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049312153
1121911411
2387511161
Stop Event
1×node limit
Counts
262 → 273
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)))
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(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
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 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 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 (+.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 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 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)))))) (neg.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 (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 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (neg.f64 eps) (+.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 #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))))))
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(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 1 binary64))
(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64))
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 2 binary64))
(tan.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(tan.f64 (+.f64 eps x))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(tan.f64 (+.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(+.f64 eps x)
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(+.f64 eps x)
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(+.f64 eps x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(+.f64 eps x)
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(+.f64 eps x)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(+.f64 eps x)
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(+.f64 eps x)
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 eps x)
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(+.f64 eps x)
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 eps x)
(log.f64 (exp.f64 (+.f64 x eps)))
(+.f64 eps x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(+.f64 eps x)
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(+.f64 eps x)
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(tan.f64 x)
(sqrt.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(tan.f64 x)
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)

eval46.0ms (0.3%)

Compiler

Compiled 6 597 to 894 computations (86.4% saved)

prune70.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New25419273
Fresh000
Picked011
Done000
Total25420274
Accuracy
99.9%
Counts
274 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(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)))
▶60.6%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
27.8%
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
▶60.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
20.9%
(/.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))))
60.6%
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
▶97.4%
(/.f64 (sin.f64 eps) (cos.f64 eps))
20.9%
(/.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)))))
55.4%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.4%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
✓60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.3%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
60.4%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))))
98.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶98.6%
(*.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)))))))
60.3%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
59.1%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 705 to 410 computations (41.8% saved)

simplify87.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 eps)
cost-diff0
(tan.f64 x)
✓cost-diff0
(+.f64 (tan.f64 x) (tan.f64 eps))
✓cost-diff128
(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)))
cost-diff0
(tan.f64 (+.f64 x eps))
cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓cost-diff0
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓cost-diff12864
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
cost-diff0
(tan.f64 (+.f64 x eps))
cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓cost-diff0
(exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓cost-diff12800
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓cost-diff6656
(/.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))
✓cost-diff6656
(*.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)))
✓cost-diff19840
(*.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)))))))
✓cost-diff26112
(+.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))))))
Rules
495×unsub-neg
352×associate-*l/
311×fmm-def
305×distribute-lft-neg-in
259×distribute-rgt-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0431284
1961232
22131219
36421179
424781115
555971111
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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)))))))
eps
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 (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))))))
(sin.f64 x)
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)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
#s(literal 3 binary64)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 x)
x
(tan.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(neg.f64 (tan.f64 x))
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)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (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))))))
(fma.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.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)))) (cos.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))))
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 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 (*.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)))) (cos.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 x) (fma.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))))
#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 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(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 (sin.f64 x) (+.f64 (*.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)))) (cos.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(*.f64 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 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 (+.f64 #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 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.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 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(sin.f64 x)
x
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.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)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(tan.f64 x)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(tan.f64 x)
#s(literal 3 binary64)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 x)
x
(tan.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(neg.f64 (tan.f64 x))

localize471.0ms (2.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
✓accuracy100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy100.0%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy60.6%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
accuracy99.8%
(tan.f64 (+.f64 x eps))
✓accuracy99.0%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓accuracy98.9%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓accuracy100.0%
(exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
accuracy99.8%
(tan.f64 (+.f64 x eps))
accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓accuracy7.9%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓accuracy100.0%
(/.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))
✓accuracy100.0%
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy99.8%
(-.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)))))
Samples
289.0ms126×2valid
97.0ms123×1valid
5.0ms2×3valid
3.0ms5×0valid
Compiler

Compiled 337 to 38 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-log: 103.0ms (38.7% of total)
adjust: 45.0ms (16.9% of total)
ival-tan: 17.0ms (6.4% of total)
ival-pow: 17.0ms (6.4% of total)
ival-mult: 17.0ms (6.4% of total)
ival-div: 11.0ms (4.1% of total)
ival-sub: 10.0ms (3.8% of total)
ival-sin: 10.0ms (3.8% of total)
ival-add: 8.0ms (3% of total)
ival-exp: 6.0ms (2.3% of total)
ival-cos: 6.0ms (2.3% of total)
ival-neg: 5.0ms (1.9% of total)
ival-fma: 5.0ms (1.9% of total)
ival-cbrt: 4.0ms (1.5% of total)
...in/eval/compile.rkt:70:19: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series101.0ms (0.6%)

Counts
19 → 340
Calls
Call 1
Inputs
#<alt (+.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))))))>
#<alt (*.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)))))))>
#<alt (*.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)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (cos.f64 eps)>
#<alt (log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))>
#<alt (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))>
#<alt (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))>
#<alt (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))>
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<alt (-.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)))))>
#<alt (pow.f64 (cos.f64 x) #s(literal 2 binary64))>
#<alt (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 (tan.f64 x) (tan.f64 eps))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))>
Outputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 eps x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 x (+.f64 eps (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
#<alt (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))>
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#<alt x>
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#<alt #s(literal 1 binary64)>
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#<alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
x
@0
(+ (* (+ (tan x) (tan eps)) (/ 1 (- 1 (* (tan x) (tan eps))))) (neg (tan x)))
6.0ms
eps
@0
(cbrt (- (tan (+ x eps)) (tan x)))
4.0ms
eps
@-inf
(* eps (/ (* (sin x) (- 1 (neg (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))
3.0ms
x
@inf
(+ (* (+ (tan x) (tan eps)) (/ 1 (- 1 (* (tan x) (tan eps))))) (neg (tan x)))
3.0ms
eps
@inf
(pow (cbrt (- (tan (+ x eps)) (tan x))) 3)

rewrite259.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
343×log1p-expm1-u
343×expm1-log1p-u
337×add-cube-cbrt
332×add-exp-log
329×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043899
1752676
Stop Event
1×node limit
Counts
19 → 431
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
(cos.f64 eps)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(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))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 eps)
(-.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)))))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 eps (*.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (log.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(pow.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64))
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 x)) (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.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 #s(literal 1 binary64) (*.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 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))

simplify517.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
561×distribute-rgt-in
561×distribute-lft-in
485×times-frac
350×*-commutative
238×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0138112884957293
1361312884955123
Stop Event
1×node limit
Counts
771 → 718
Calls
Call 1
Inputs
(+.f64 #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 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
eps
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (*.f64 x (+.f64 (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 x (+.f64 eps (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
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(*.f64 eps x)
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x
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eps
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eps
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#s(literal 1 binary64)
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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#s(literal 1 binary64)
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
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(*.f64 eps x)
(*.f64 x (+.f64 eps x))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 #s(literal 61/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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(*.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)))))
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(*.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)))))
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(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
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(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
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(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
#s(literal 1 binary64)
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(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 x)) (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.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 #s(literal 1 binary64) (*.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 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)))
Outputs
(+.f64 #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 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #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 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #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 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #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 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x)))
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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 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3 binary64))))
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eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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#s(literal 1 binary64)
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.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))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.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))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.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))))
(exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(literal 1 binary64)
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eps
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x
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eval250.0ms (1.4%)

Compiler

Compiled 40 337 to 5 030 computations (87.5% saved)

prune352.0ms (2%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1 268171 285
Fresh6814
Picked235
Done011
Total1 276291 305
Accuracy
100.0%
Counts
1 305 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
60.6%
(fma.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
60.6%
(fma.f64 (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓60.6%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
44.6%
(pow.f64 (+.f64 (cbrt.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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 -1/3 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(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)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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))) #s(literal 2 binary64))))))) #s(literal 3 binary64))
60.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) #s(literal 3 binary64))
✓60.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
60.6%
(/.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)))
55.4%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.4%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
▶60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
✓60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.3%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
▶99.1%
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
97.2%
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
▶98.3%
(*.f64 (+.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)
98.1%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
97.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
98.5%
(*.f64 eps (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
97.4%
(tan.f64 eps)
60.3%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
✓7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
59.1%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶97.3%
eps
Compiler

Compiled 1 196 to 632 computations (47.2% saved)

simplify108.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 eps)
cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓cost-diff0
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
✓cost-diff128
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
cost-diff0
(+.f64 x eps)
cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff128
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
✓cost-diff128
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓cost-diff0
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
✓cost-diff256
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓cost-diff6528
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
Rules
650×fmm-def
551×fma-define
342×associate-/r*
325×distribute-lft-in
319×neg-mul-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0441292
1951288
22011277
34731277
419621245
557391233
679961233
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(sin.f64 x)
x
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (cos.f64 x))
eps
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(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)))) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
eps
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(tan.f64 x)
x
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 eps)
(neg.f64 (tan.f64 x))
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))) (cos.f64 eps))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) #s(literal 1 binary64))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal -1 binary64)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(sin.f64 x)
x
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal -1 binary64)))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (sin.f64 x) (cos.f64 x))
eps
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(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)))) eps)
(*.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 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
eps
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(tan.f64 x)
x
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 eps)
(neg.f64 (tan.f64 x))

localize709.0ms (4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
accuracy100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy100.0%
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
✓accuracy60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓accuracy100.0%
(*.f64 (+.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)
✓accuracy100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
accuracy99.8%
(tan.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
✓accuracy100.0%
(*.f64 (cos.f64 x) (cos.f64 eps))
✓accuracy100.0%
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
✓accuracy100.0%
(/.f64 (sin.f64 x) (cos.f64 x))
✓accuracy70.1%
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
Samples
611.0ms228×1valid
26.0ms20×2valid
6.0ms2×3valid
3.0ms6×0valid
Compiler

Compiled 325 to 39 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
adjust: 25.0ms (17.2% of total)
ival-div: 25.0ms (17.2% of total)
ival-sin: 14.0ms (9.7% of total)
ival-pow: 13.0ms (9% of total)
ival-tan: 12.0ms (8.3% of total)
ival-cos: 11.0ms (7.6% of total)
ival-mult: 11.0ms (7.6% of total)
ival-sub: 9.0ms (6.2% of total)
ival-add: 9.0ms (6.2% of total)
ival-neg: 8.0ms (5.5% of total)
ival-fma: 5.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.4%)

Counts
16 → 252
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))>
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))>
#<alt (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (pow.f64 (sin.f64 x) #s(literal 2 binary64))>
#<alt (sin.f64 x)>
#<alt (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
#<alt (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))>
#<alt (*.f64 (cos.f64 x) (cos.f64 eps))>
#<alt (cos.f64 x)>
#<alt (*.f64 (+.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)>
Outputs
#<alt (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (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 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (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 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (/.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
#<alt (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))>
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#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/45 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2/3 binary64) eps))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))>
Calls

75 calls:

TimeVariablePointExpression
10.0ms
x
@0
(- (/ (/ (sin x) (cos x)) (- 1 (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))))) (/ (sin x) (cos x)))
9.0ms
x
@inf
(- (/ (/ (sin x) (cos x)) (- 1 (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))))) (/ (sin x) (cos x)))
3.0ms
eps
@inf
(+ (* (+ (/ (sin eps) (cos eps)) (tan x)) (/ 1 (- 1 (* (tan x) (tan eps))))) (neg (tan x)))
2.0ms
eps
@-inf
(- (/ (/ (sin x) (cos x)) (- 1 (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))))) (/ (sin x) (cos x)))
2.0ms
eps
@inf
(- (/ (/ (sin x) (cos x)) (- 1 (* (sin x) (/ (sin eps) (* (cos x) (cos eps)))))) (/ (sin x) (cos x)))

rewrite215.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
389×log1p-expm1-u
389×expm1-log1p-u
378×add-cube-cbrt
376×add-exp-log
374×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044671
1871663
Stop Event
1×node limit
Counts
16 → 341
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(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)))) eps)
Outputs
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.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) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.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 (tan.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))))
(+.f64 (fma.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.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 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.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 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (tan.f64 x)))
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(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))

simplify455.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
659×fma-define
401×distribute-rgt-in
400×distribute-lft-in
313×times-frac
275×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113843477
1295341137
Stop Event
1×node limit
Counts
593 → 608
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (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 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 eps) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (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 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 eps (-.f64 (/.f64 (*.f64 eps (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 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.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 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (/.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.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 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))))) (+.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 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.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 1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (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 (*.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 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))))) (+.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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eps
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x
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x
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(cos.f64 eps)
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(cos.f64 x)
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#s(literal 1 binary64)
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eps
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(pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(exp.f64 (log.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 eps))
(fma.f64 #s(literal 1 binary64) (tan.f64 eps) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (tan.f64 x) (tan.f64 eps))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.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))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (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 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/6 binary64)) (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 eps) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (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))))
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eps
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eps
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(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))) #s(literal 3 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))) (tan.f64 x)))
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(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
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(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))))
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(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
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(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 1 binary64))
(*.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 3 binary64))
(*.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 2 binary64))
(*.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (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 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 eps (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 (cbrt.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 eps (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 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (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 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 eps (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 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))

eval207.0ms (1.2%)

Compiler

Compiled 50 024 to 5 304 computations (89.4% saved)

prune338.0ms (1.9%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 286151 301
Fresh51520
Picked325
Done134
Total1 295351 330
Accuracy
100.0%
Counts
1 330 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓60.6%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
33.6%
(pow.f64 (pow.f64 (+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
44.6%
(pow.f64 (+.f64 (cbrt.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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 -1/3 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(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)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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))) #s(literal 2 binary64))))))) #s(literal 3 binary64))
✓60.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
60.6%
(/.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)))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.4%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
✓60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶60.3%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
10.3%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
7.5%
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)))) #s(literal 1 binary64))
96.9%
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
96.9%
(+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps))) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
▶99.1%
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
97.2%
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
97.2%
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
▶97.4%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
98.3%
(*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps)
98.1%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
▶97.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
98.5%
(*.f64 eps (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
97.4%
(tan.f64 eps)
60.3%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
✓97.3%
eps
Compiler

Compiled 1 573 to 840 computations (46.6% saved)

simplify166.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(sin.f64 x)
✓cost-diff0
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))
✓cost-diff128
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.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)))
✓cost-diff0
(expm1.f64 (tan.f64 (+.f64 x eps)))
cost-diff128
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
✓cost-diff12800
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
✓cost-diff12928
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
cost-diff0
(sin.f64 x)
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
✓cost-diff64
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
✓cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
✓cost-diff0
(*.f64 x eps)
cost-diff0
(sin.f64 eps)
✓cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))
cost-diff0
(tan.f64 x)
Rules
747×div-sub
515×fma-define
416×sub-neg
367×fmm-def
307×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0511344
11171328
22481305
35351305
414751305
537821284
660611284
771441284
878091284
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))
(tan.f64 x)
x
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
eps
(cos.f64 x)
(/.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(cos.f64 eps)
#s(literal -1 binary64)
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
#s(literal 1 binary64)
(*.f64 x eps)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
eps
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.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 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(tan.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 x)
(neg.f64 (tan.f64 x))
Outputs
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x))))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x))))) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(tan.f64 x)
x
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x))))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
eps
(cos.f64 x)
(/.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(cos.f64 eps)
#s(literal -1 binary64)
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 x)))))
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (tan.f64 eps) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)))
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(*.f64 eps (fma.f64 x eps #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(fma.f64 x eps #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x eps)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
eps
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(expm1.f64 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.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 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))
(+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin.f64 x)
x
(cos.f64 x)
(tan.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (tan.f64 x) (tan.f64 eps))
(tan.f64 x)
(neg.f64 (tan.f64 x))

localize527.0ms (3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓accuracy100.0%
(/.f64 (sin.f64 x) (cos.f64 x))
✓accuracy100.0%
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))
✓accuracy60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.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)))
✓accuracy100.0%
(expm1.f64 (tan.f64 (+.f64 x eps)))
✓accuracy99.9%
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
accuracy99.8%
(tan.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
✓accuracy100.0%
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
✓accuracy100.0%
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))
✓accuracy99.9%
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))
✓accuracy54.6%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))
Samples
310.0ms248×1valid
9.0ms2×3valid
3.0ms5×0valid
2.0ms1×2valid
Compiler

Compiled 349 to 46 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
adjust: 29.0ms (17.6% of total)
ival-div: 26.0ms (15.7% of total)
ival-tan: 16.0ms (9.7% of total)
ival-mult: 15.0ms (9.1% of total)
ival-add: 13.0ms (7.9% of total)
ival-sin: 13.0ms (7.9% of total)
ival-expm1: 10.0ms (6.1% of total)
ival-pow: 10.0ms (6.1% of total)
ival-sub: 9.0ms (5.5% of total)
ival-cos: 8.0ms (4.8% of total)
ival-neg: 6.0ms (3.6% of total)
ival-fma: 6.0ms (3.6% of total)
ival-log1p: 3.0ms (1.8% of total)
...in/eval/compile.rkt:70:19: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.4%)

Counts
18 → 348
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))>
#<alt (/.f64 (sin.f64 eps) (cos.f64 x))>
#<alt (*.f64 x eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x eps))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))>
#<alt (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))>
#<alt (expm1.f64 (tan.f64 (+.f64 x eps)))>
#<alt (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))>
#<alt (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (sin.f64 x) (cos.f64 x))>
Outputs
#<alt (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))>
#<alt (/.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)))))>
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#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (-.f64 (/.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 (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))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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 -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -1 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))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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 -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)))) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.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 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.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 -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -1 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))))))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) #s(literal 1 binary64))) (cos.f64 x)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) eps) (*.f64 #s(literal 32/45 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
x
@0
(- (exp (tan (+ x eps))) 1)
5.0ms
eps
@0
(* (/ (sin eps) (cos x)) (/ (sin x) (cos eps)))
4.0ms
x
@0
(+ (/ 1 (- 1 (* (/ (sin eps) (cos x)) (/ (sin x) (cos eps))))) -1)
3.0ms
eps
@0
(/ (sin eps) (cos x))
3.0ms
eps
@-inf
(* (+ 1 (/ (pow (sin x) 2) (- 1 (pow x 2)))) eps)

rewrite177.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
452×log1p-expm1-u
451×expm1-log1p-u
443×add-cube-cbrt
439×add-exp-log
436×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051721
1976713
Stop Event
1×node limit
Counts
18 → 349
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 x eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.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 (sin.f64 x) (cos.f64 x)) (tan.f64 eps))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))
(*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (cos.f64 eps))) (cos.f64 x))
(pow.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
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(fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 eps)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)

simplify606.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
543×distribute-rgt-in
539×distribute-lft-in
337×*-commutative
320×cancel-sign-sub-inv
260×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0136548047
1370046428
Stop Event
1×node limit
Counts
697 → 692
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sin.f64 eps)) (+.f64 (*.f64 #s(literal 1/48 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)))))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(*.f64 x (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 x (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 x (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
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(/.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal 2 binary64)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal 2 binary64))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))))
(pow.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))))
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))))
(exp.f64 (log.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))))
(fma.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))))
(fma.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)) (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(fma.f64 (sqrt.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) (sqrt.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 eps)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
Outputs
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))))
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eps
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eps
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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eps
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eps
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x
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(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) #s(literal 3 binary64))
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) #s(literal 2 binary64))
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(tan.f64 x)
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(tan.f64 x)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(tan.f64 x)
(tan.f64 x)

eval271.0ms (1.5%)

Compiler

Compiled 47 809 to 5 763 computations (87.9% saved)

prune452.0ms (2.5%)

Pruning

40 alts after pruning (32 fresh and 8 done)

PrunedKeptTotal
New1 32691 335
Fresh22325
Picked235
Done055
Total1 330401 370
Accuracy
100.0%
Counts
1 370 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓60.6%
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
✓60.6%
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
33.6%
(pow.f64 (pow.f64 (+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
44.6%
(pow.f64 (+.f64 (cbrt.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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 -1/3 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(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)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.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 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.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))) #s(literal 2 binary64))))))) #s(literal 3 binary64))
✓60.3%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
60.6%
(/.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)))
60.6%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
59.4%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
✓60.3%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
60.3%
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
10.3%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
7.5%
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)))) #s(literal 1 binary64))
96.9%
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
96.9%
(+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 eps))) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓99.1%
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
97.2%
(+.f64 eps (*.f64 (*.f64 eps x) eps))
49.9%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
5.9%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
97.4%
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
98.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
97.4%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
98.3%
(*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps)
97.2%
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
98.1%
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
97.3%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
✓97.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
97.0%
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
98.5%
(*.f64 eps (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
97.4%
(tan.f64 eps)
60.3%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
7.7%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
59.3%
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (tan.f64 x)))))
✓97.3%
eps
Compiler

Compiled 2 069 to 766 computations (63% saved)

regimes152.0ms (0.9%)

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

3 calls:

114.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms
x
15.0ms
eps
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
99.1%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes112.0ms (0.6%)

Counts
57 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (exp.f64 (log1p.f64 (*.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 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(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 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.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 (/.f64 (sin.f64 x) (cos.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 (exp.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.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 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.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)))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (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 eps (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 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 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (tan.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
Calls

3 calls:

77.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
99.1%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.3%)

Counts
55 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (exp.f64 (log1p.f64 (*.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 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(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 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.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 (/.f64 (sin.f64 x) (cos.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 (exp.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (sin.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 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.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)))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (neg.f64 (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 eps (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
Calls

3 calls:

17.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 (exp.f64 (log1p.f64 (*.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 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
Calls

3 calls:

15.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
98.3%1x
98.3%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.2%)

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

3 calls:

14.0ms
eps
10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
98.3%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(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))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) #s(literal 3 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) #s(literal 3 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
Calls

3 calls:

12.0ms
x
10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
eps
Results
AccuracySegmentsBranch
98.3%1x
98.3%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
Outputs
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
Calls

3 calls:

6.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
97.4%1x
97.4%1eps
97.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes66.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 (*.f64 eps #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
Calls

3 calls:

54.0ms
x
6.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
97.4%1x
97.4%1eps
97.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
(tan.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(tan.f64 eps)
Calls

3 calls:

4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
97.4%1x
97.4%1eps
97.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
97.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.2b remaining (-12.9%)

Threshold costs -0.2b (-12.9%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
(+.f64 eps (*.f64 (*.f64 eps x) eps))
(*.f64 eps (*.f64 x (+.f64 eps (/.f64 #s(literal 1 binary64) x))))
Outputs
eps
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
97.3%1x
97.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
33×+-commutative
30×*-commutative
19×sub-neg
14×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079751
1133751
2171751
3201751
4225751
5233751
6235751
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
(*.f64 (exp.f64 (log1p.f64 (*.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 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
eps
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))) #s(literal -1 binary64))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 eps))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.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 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))) eps)
(*.f64 eps (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) eps)
(*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(tan.f64 eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
eps

soundness1.7s (9.5%)

Rules
929×log1p-expm1-u
929×expm1-log1p-u
883×prod-diff
659×fma-define
638×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044671
1871663
0136548047
1370046428
051721
1976713
0113843477
1295341137
01268
115668
2234668
043899
1752676
0138112884957293
1361312884955123
049312153
1121911411
2387511161
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1 659 to 483 computations (70.9% saved)

preprocess99.0ms (0.6%)

Compiler

Compiled 488 to 206 computations (57.8% saved)

end0.0ms (0%)

Profiling

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