2sin (example 3.3)

Time bar (total: 16.1s)

analyze41.0ms (0.3%)

Memory
-13.3MiB live, 62.6MiB allocated
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)

sample11.3s (70%)

Memory
-258.9MiB live, 7 982.2MiB allocated
Samples
5.8s25 961×0invalid
2.8s4 439×1valid
886.0ms3 817×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.0s
...in/eval/compile.rkt:111:19: 4.3s (53.9% of total)
ival-sin: 1.4s (17.6% of total)
ival-add: 464.0ms (5.8% of total)
ival-sub: 429.0ms (5.4% of total)
ival-mult: 356.0ms (4.4% of total)
ival-<: 340.0ms (4.2% of total)
ival-fabs: 281.0ms (3.5% of total)
ival-<=: 184.0ms (2.3% of total)
ival-and: 99.0ms (1.2% of total)
adjust: 83.0ms (1% of total)
...in/eval/compile.rkt:110:19: 35.0ms (0.4% of total)
ival-assert: 14.0ms (0.2% of total)
Bogosity

preprocess66.0ms (0.4%)

Memory
3.9MiB live, 85.8MiB allocated
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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))

explain90.0ms (0.6%)

Memory
19.6MiB live, 133.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2373(-1.4557475154766195e-215 4.0500946284713003e-218)3(6.326895526245448e-6 1.6399299599044654e-7)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
40-1(22.28536492388353 3.525288602301114e-9)(sin.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))cancellation2376
sin.f64(sin.f64 (+.f64 x eps))sensitivity31
Confusion
Predicted +Predicted -
+2343
-316
Precision
0.9873417721518988
Recall
0.9873417721518988
Confusion?
Predicted +Predicted MaybePredicted -
+23430
-3313
Precision?
0.9753086419753086
Recall?
1.0
Freqs
test
numberfreq
019
1234
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms296×1valid
12.0ms212×0valid
1.0ms2×3valid
0.0ms2×2valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 13.0ms (53.2% of total)
ival-add: 4.0ms (16.4% of total)
adjust: 3.0ms (12.3% of total)
ival-sub: 3.0ms (12.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(sin.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

localize37.0ms (0.2%)

Memory
-25.1MiB live, 49.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(sin.f64 (+.f64 x eps))
✓accuracy60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Samples
23.0ms148×1valid
5.0ms106×0valid
0.0ms1×3valid
0.0ms1×2valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 6.0ms (39.9% of total)
ival-sin: 6.0ms (39.9% of total)
adjust: 2.0ms (13.3% of total)
ival-sub: 2.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (sin.f64 x)>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.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 -1/6 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 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
1.0ms
x
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))
0.0ms
x
@0
(sin x)

rewrite300.0ms (1.9%)

Memory
-32.0MiB live, 275.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
461×fma-define
401×log-prod
211×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
116068
2246068
Stop Event
1×node limit
Counts
4 → 218
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 x)
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
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(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.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))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(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 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 x)))

simplify148.0ms (0.9%)

Memory
-2.8MiB live, 152.0MiB allocated
Algorithm
1×egg-herbie
Rules
654×distribute-lft-in
511×fmm-def
481×times-frac
350×cancel-sign-sub-inv
238×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054210705
1122410322
235859977
Stop Event
1×node limit
Counts
294 → 315
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
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(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.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))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(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 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) #s(literal -1 binary64))) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.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)))
(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)
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.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 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x)))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

eval38.0ms (0.2%)

Memory
15.9MiB live, 53.5MiB allocated
Compiler

Compiled 5 250 to 989 computations (81.2% saved)

prune42.0ms (0.3%)

Memory
-6.7MiB live, 70.6MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3087315
Fresh000
Picked011
Done000
Total3088316
Accuracy
100.0%
Counts
316 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶60.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
99.7%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
▶100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
99.9%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
▶99.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶98.9%
(*.f64 eps (cos.f64 x))
▶97.2%
(sin.f64 eps)
Compiler

Compiled 227 to 152 computations (33% saved)

simplify80.0ms (0.5%)

Memory
6.1MiB live, 47.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 eps x)
✓cost-diff256
(+.f64 x (-.f64 eps x))
✓cost-diff256
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
✓cost-diff256
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 eps (cos.f64 x))
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓cost-diff0
(cos.f64 x)
Rules
816×fma-define
789×distribute-lft-neg-out
414×sub-neg
364×unsub-neg
343×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040989
198953
2267905
3578841
41086841
53044841
65237841
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/24 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
#s(literal 2 binary64)
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
eps
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize123.0ms (0.8%)

Memory
25.3MiB live, 139.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓accuracy99.7%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy60.2%
(+.f64 x (-.f64 eps x))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy100.0%
(*.f64 eps (sin.f64 x))
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓accuracy100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
✓accuracy99.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
✓accuracy99.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy99.4%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
Samples
55.0ms217×0valid
18.0ms37×1valid
3.0ms2×3valid
Compiler

Compiled 273 to 36 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 23.0ms (42.5% of total)
ival-add: 9.0ms (16.6% of total)
...in/eval/compile.rkt:111:19: 7.0ms (12.9% of total)
ival-sin: 6.0ms (11.1% of total)
ival-cos: 5.0ms (9.2% of total)
adjust: 2.0ms (3.7% of total)
ival-sub: 1.0ms (1.8% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
-29.7MiB live, 48.3MiB allocated
Counts
19 → 240
Calls
Call 1
Inputs
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (cos.f64 x))>
#<alt (sin.f64 eps)>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (-.f64 eps x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
Outputs
#<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 (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))>
#<alt #s(literal -1/6 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))>
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#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
Calls

102 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(sin eps)
3.0ms
eps
@inf
(* (sin (* (+ x (- eps x)) 1/2)) (cos (* (+ eps (+ x x)) 1/2)))
3.0ms
eps
@-inf
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
1.0ms
eps
@inf
(* -1/2 (* eps (sin x)))
1.0ms
eps
@0
(* eps (cos x))

rewrite215.0ms (1.3%)

Memory
33.2MiB live, 153.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
303×log1p-expm1-u
303×expm1-log1p-u
299×add-cube-cbrt
296×add-exp-log
296×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036575
1624559
Stop Event
1×node limit
Counts
19 → 397
Calls
Call 1
Inputs
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
(-.f64 eps x)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Outputs
(-.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)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 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)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 eps x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 eps x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (-.f64 eps x)))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))
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(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))) (-.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))) (-.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))

simplify362.0ms (2.2%)

Memory
-15.9MiB live, 411.4MiB allocated
Algorithm
1×egg-herbie
Rules
820×fmm-def
350×distribute-rgt-in
345×distribute-lft-in
282×+-commutative
273×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124126870
1327725800
2761425800
Stop Event
1×node limit
Counts
637 → 743
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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eps
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(*.f64 #s(literal -1 binary64) x)
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eps
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eps
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eps
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(cos.f64 x)
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(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64)))) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/10080 binary64) #s(literal -1/240 binary64)))) #s(literal -1/2 binary64)))
#s(literal -1/6 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/144 binary64))) #s(literal -1/6 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/144 binary64)))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)))) #s(literal -1/6 binary64))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/24 binary64) eps))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (*.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 eps #s(literal 1/120 binary64))))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x eps))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
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(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
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(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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eval144.0ms (0.9%)

Memory
13.7MiB live, 293.2MiB allocated
Compiler

Compiled 23 280 to 4 811 computations (79.3% saved)

prune206.0ms (1.3%)

Memory
-4.5MiB live, 236.3MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New9338941
Fresh202
Picked235
Done011
Total93712949
Accuracy
100.0%
Counts
949 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.8%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
▶97.5%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
99.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶98.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓99.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
97.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
97.5%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓98.9%
(*.f64 eps (cos.f64 x))
▶97.2%
eps
Compiler

Compiled 271 to 184 computations (32.1% saved)

simplify84.0ms (0.5%)

Memory
7.7MiB live, 46.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6144
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓cost-diff-6272
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 x eps)
✓cost-diff0
(*.f64 eps (+.f64 x eps))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))
✓cost-diff0
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) eps)
Rules
887×fmm-def
678×fma-define
471×distribute-lft-out
376×distribute-lft-in
341×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035656
181624
2193620
3385593
4536593
5962593
63328593
74180593
84623593
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))
#s(literal -1/2 binary64)
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
eps
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
eps
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 x eps))
(+.f64 x eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
eps
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(cos.f64 x)
x
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal 2 binary64)
Outputs
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
eps
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(fma.f64 x (*.f64 eps (*.f64 (+.f64 x eps) #s(literal -1/2 binary64))) eps)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))) eps)
(*.f64 eps (fma.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64)))
eps
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))
(*.f64 x (*.f64 eps (*.f64 (+.f64 x eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (+.f64 x eps) (*.f64 eps #s(literal -1/2 binary64))))
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))
(*.f64 eps (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 (+.f64 x eps) (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 x eps))
(+.f64 x eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(+.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize157.0ms (1%)

Memory
-8.7MiB live, 150.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓accuracy100.0%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
accuracy99.7%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) eps)
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
✓accuracy100.0%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))
✓accuracy99.8%
(*.f64 eps (+.f64 x eps))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))
✓accuracy100.0%
(*.f64 (sin.f64 x) eps)
✓accuracy100.0%
(*.f64 (cos.f64 x) eps)
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)
Samples
51.0ms256×0valid
Compiler

Compiled 176 to 31 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 20.0ms (58.5% of total)
ival-add: 6.0ms (17.6% of total)
ival-cos: 4.0ms (11.7% of total)
ival-sin: 3.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory
15.8MiB live, 53.8MiB allocated
Counts
16 → 304
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 x) eps)>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))>
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))>
#<alt (*.f64 eps (+.f64 x eps))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 x x)>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (*.f64 (sin.f64 x) eps)>
#<alt (+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
Outputs
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
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#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
Calls

84 calls:

TimeVariablePointExpression
8.0ms
x
@0
(* (* -1/2 eps) x)
1.0ms
x
@inf
(* (* -1/2 (* (sin x) eps)) eps)
1.0ms
eps
@-inf
(* x (* -1/2 (* eps (+ x eps))))
1.0ms
x
@inf
(* x (* -1/2 (* eps (+ x eps))))
1.0ms
eps
@0
(* x (* -1/2 (* eps (+ x eps))))

rewrite171.0ms (1.1%)

Memory
-30.2MiB live, 96.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
342×associate-*r*
271×log1p-expm1-u
271×expm1-log1p-u
269×add-cube-cbrt
267×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034428
1575406
Stop Event
1×node limit
Counts
16 → 335
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))
(*.f64 eps (+.f64 x eps))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x x)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 x) eps)
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
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(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
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(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) (sqrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 x eps)) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
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simplify278.0ms (1.7%)

Memory
27.2MiB live, 224.8MiB allocated
Algorithm
1×egg-herbie
Rules
228×*-commutative
121×+-commutative
83×fma-define
75×distribute-lft-in
73×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096321158
1287421158
Stop Event
1×unsound
Counts
639 → 550
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
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eps
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(*.f64 eps (sin.f64 x))
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eps
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(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))) (/.f64 (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64)) (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) (sqrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps)))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64))) (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps))
(pow.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)))
(fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps)
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) (sqrt.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 x eps)) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
Outputs
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (neg.f64 eps) (pow.f64 x #s(literal 0 binary64))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 0 binary64))) #s(literal 1/24 binary64)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) eps (*.f64 (pow.f64 x #s(literal 0 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 0 binary64))) (*.f64 eps #s(literal 1/24 binary64)))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 eps #s(literal 0 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 0 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 0 binary64)) (pow.f64 eps #s(literal 0 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal 0 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 x #s(literal 0 binary64)) (pow.f64 eps #s(literal 0 binary64))) (*.f64 (pow.f64 eps #s(literal 0 binary64)) #s(literal 1/12 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
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(*.f64 eps x)
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(*.f64 eps (sin.f64 x))
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eps
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(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) x eps))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) x eps))))

eval100.0ms (0.6%)

Memory
-15.3MiB live, 136.6MiB allocated
Compiler

Compiled 12 197 to 2 895 computations (76.3% saved)

prune129.0ms (0.8%)

Memory
15.9MiB live, 139.9MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New6922694
Fresh123
Picked055
Done044
Total69313706
Accuracy
100.0%
Counts
706 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.8%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
✓97.5%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
▶97.4%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶99.6%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓98.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓99.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶97.5%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓98.9%
(*.f64 eps (cos.f64 x))
✓97.2%
eps
Compiler

Compiled 195 to 130 computations (33.3% saved)

simplify94.0ms (0.6%)

Memory
1.8MiB live, 41.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓cost-diff0
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
✓cost-diff-6144
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓cost-diff-5888
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff0
(+.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
Rules
729×fmm-def
665×distribute-lft-in
611×distribute-rgt-in
598×unsub-neg
459×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0481274
11301204
23531198
39671151
424111151
550841151
665201151
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
x
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 x)
x
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/48 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal 2 binary64)
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
x
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x (*.f64 eps #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/48 binary64))) #s(literal -1/2 binary64)))) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/48 binary64))) #s(literal -1/2 binary64)))) (cos.f64 x)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/48 binary64))) #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/48 binary64))) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/48 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/48 binary64))) #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/48 binary64)) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/48 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64)))
(fma.f64 eps (*.f64 #s(literal 1/48 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/48 binary64)))
#s(literal 1/48 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(fma.f64 x (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 eps x)) eps)
(*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps x) x))
(*.f64 (*.f64 eps x) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(*.f64 eps (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)

localize199.0ms (1.2%)

Memory
-28.7MiB live, 222.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 eps x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓accuracy100.0%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
✓accuracy100.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
accuracy99.7%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
✓accuracy100.0%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
✓accuracy99.7%
(*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓accuracy99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
Samples
113.0ms256×0valid
Compiler

Compiled 360 to 44 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 66.0ms (72.5% of total)
ival-add: 8.0ms (8.8% of total)
...in/eval/compile.rkt:111:19: 7.0ms (7.7% of total)
ival-sin: 4.0ms (4.4% of total)
ival-cos: 4.0ms (4.4% of total)
ival-sub: 2.0ms (2.2% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
1.0MiB live, 76.1MiB allocated
Counts
16 → 217
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1/8 binary64) (cos.f64 x))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt #s(literal -1/8 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5760 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/192 binary64))))) #s(literal 1/8 binary64))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/48 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/288 binary64) eps) (*.f64 #s(literal 1/5760 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/48 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/288 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/241920 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/5760 binary64) eps)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/48 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/8 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/8 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/288 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (*.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (*.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) eps)) (*.f64 #s(literal -1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) eps)) (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) eps)) (*.f64 #s(literal -1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 eps (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (+.f64 (*.f64 eps (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/288 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/288 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/48 binary64) (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 x) eps)) (+.f64 (*.f64 #s(literal 1/48 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/8 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/8 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))))>
Calls

90 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x))))
1.0ms
x
@inf
(* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x))))
1.0ms
eps
@inf
(* (sin (* 1/2 eps)) (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x))))))
1.0ms
eps
@0
(* x (* -1/2 (* eps x)))
1.0ms
x
@0
(* (sin (* 1/2 eps)) (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x))))))

rewrite151.0ms (0.9%)

Memory
41.4MiB live, 192.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
368×log1p-expm1-u
368×expm1-log1p-u
361×add-cube-cbrt
358×add-exp-log
358×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044648
1774616
Stop Event
1×node limit
Counts
16 → 256
Calls
Call 1
Inputs
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) (sqrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))))
(pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))

simplify412.0ms (2.6%)

Memory
-34.9MiB live, 377.6MiB allocated
Algorithm
1×egg-herbie
Rules
755×associate-*r*
669×associate-*l*
638×fma-define
359×*-commutative
323×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091022275
1233621741
2788721737
Stop Event
1×node limit
Counts
473 → 564
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(literal -1/8 binary64)
(-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5760 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/192 binary64))))) #s(literal 1/8 binary64))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 #s(literal -1/16 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal 1/96 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))
Outputs
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) eps))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) eps))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) eps)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))) (neg.f64 eps))
#s(literal -1/8 binary64)
(-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64))) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5760 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/192 binary64))))) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/5760 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/192 binary64)))) #s(literal -1/8 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/5760 binary64) #s(literal -1/192 binary64)) #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x)))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x eps) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(fma.f64 x (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
(fma.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps #s(literal 1/6 binary64)))) (*.f64 eps (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (*.f64 eps (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
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(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))))) (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))))) (cos.f64 x))

eval161.0ms (1%)

Memory
20.2MiB live, 173.5MiB allocated
Compiler

Compiled 19 150 to 4 102 computations (78.6% saved)

prune107.0ms (0.7%)

Memory
10.9MiB live, 246.9MiB allocated
Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New7922794
Fresh000
Picked134
Done189
Total79413807
Accuracy
100.0%
Counts
807 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.8%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
✓97.5%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
✓97.4%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
✓99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓99.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓97.5%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
97.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
99.6%
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
✓98.9%
(*.f64 eps (cos.f64 x))
✓97.2%
eps
Compiler

Compiled 462 to 242 computations (47.6% saved)

regimes20.0ms (0.1%)

Memory
-12.5MiB live, 26.5MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
Calls

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes46.0ms (0.3%)

Memory
-25.7MiB live, 21.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
Calls

3 calls:

30.0ms
x
6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
Calls

3 calls:

5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
-14.7MiB live, 25.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
Outputs
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
Calls

3 calls:

6.0ms
eps
5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Calls

3 calls:

4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-19.8MiB live, 19.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
Calls

3 calls:

4.0ms
eps
4.0ms
x
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
Outputs
(*.f64 eps (cos.f64 x))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (neg.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
Outputs
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
97.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
-30.7MiB live, 8.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
Outputs
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
97.4%1x
97.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
Calls

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative
21×+-commutative
8×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073566
1137566
2158566
3170566
4178566
5180566
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
eps
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) eps))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 x #s(literal -2 binary64))))))
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps)))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
eps

soundness508.0ms (3.1%)

Memory
-7.3MiB live, 586.1MiB allocated
Rules
978×log1p-expm1-u
978×expm1-log1p-u
820×fmm-def
461×fma-define
401×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124126870
1327725800
2761425800
036575
1624559
01268
116068
2246068
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 446 to 170 computations (61.9% saved)

preprocess101.0ms (0.6%)

Memory
-9.2MiB live, 222.5MiB allocated
Compiler

Compiled 398 to 206 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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