2sin (example 3.3)

Time bar (total: 13.5s)

analyze58.0ms (0.4%)

Memory
5.1MiB live, 51.8MiB 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)

sample7.3s (54.3%)

Memory
181.3MiB live, 7 951.7MiB allocated
Samples
3.8s26 086×0invalid
883.0ms4 402×1valid
699.0ms3 854×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
...in/eval/compile.rkt:77:19: 1.1s (27.6% of total)
ival-sin: 811.0ms (20.2% of total)
ival-add: 442.0ms (11% of total)
ival-mult: 356.0ms (8.9% of total)
ival-fabs: 350.0ms (8.7% of total)
ival-sub: 258.0ms (6.4% of total)
ival-<: 228.0ms (5.7% of total)
ival-<=: 215.0ms (5.4% of total)
ival-and: 102.0ms (2.5% of total)
adjust: 95.0ms (2.4% of total)
...in/eval/compile.rkt:76:19: 36.0ms (0.9% of total)
ival-assert: 12.0ms (0.3% of total)
Bogosity

preprocess77.0ms (0.6%)

Memory
-17.9MiB live, 101.7MiB 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))

explain101.0ms (0.8%)

Memory
3.2MiB live, 197.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2215(-6.285974354899334e-142 5.067770944975828e-144)3(-9483.182333317993 0.14451929569810698)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10-0-(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))cancellation22313
sin.f64(sin.f64 (+.f64 x eps))sensitivity10
Confusion
Predicted +Predicted -
+2192
-530
Precision
0.9776785714285714
Recall
0.9909502262443439
Confusion?
Predicted +Predicted MaybePredicted -
+21920
-51020
Precision?
0.9364406779661016
Recall?
1.0
Freqs
test
numberfreq
032
1224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms272×1valid
17.0ms238×0valid
0.0ms2×2valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sin: 13.0ms (52.6% of total)
ival-add: 4.0ms (16.2% of total)
ival-sub: 4.0ms (16.2% of total)
adjust: 3.0ms (12.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB 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)

localize33.0ms (0.2%)

Memory
-23.6MiB live, 53.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy63.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Samples
20.0ms136×1valid
6.0ms119×0valid
0.0ms1×2valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (45.6% of total)
ival-add: 6.0ms (34.2% of total)
adjust: 2.0ms (11.4% of total)
ival-sub: 2.0ms (11.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
13.1MiB live, 13.1MiB 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
x
@0
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))
0.0ms
x
@inf
(+ x eps)

rewrite296.0ms (2.2%)

Memory
-7.7MiB live, 319.6MiB 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))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #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)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))

simplify155.0ms (1.1%)

Memory
7.2MiB live, 164.1MiB 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))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #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)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
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)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)
(+.f64 #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)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(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)

eval45.0ms (0.3%)

Memory
-11.4MiB live, 68.7MiB allocated
Compiler

Compiled 5 250 to 989 computations (81.2% saved)

prune46.0ms (0.3%)

Memory
14.0MiB live, 90.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3069315
Fresh000
Picked011
Done000
Total30610316
Accuracy
100.0%
Counts
316 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
58.5%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
63.2%
(*.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))
▶99.9%
(*.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)))))
▶99.8%
(*.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)))))))))
▶99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
99.2%
(*.f64 eps (cos.f64 x))
▶98.2%
(sin.f64 eps)
Compiler

Compiled 265 to 180 computations (32.1% saved)

simplify155.0ms (1.1%)

Memory
-28.0MiB live, 57.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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)
cost-diff0
(+.f64 x eps)
cost-diff0
(sin.f64 (+.f64 x eps))
✓cost-diff12800
(log1p.f64 (expm1.f64 (sin.f64 x)))
✓cost-diff12800
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
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
(sin.f64 eps)
✓cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓cost-diff128
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓cost-diff256
(*.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)))))
Rules
1 830×fma-define
764×fmm-def
508×unsub-neg
416×distribute-lft-in
355×distribute-rgt-in
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
044914
1104898
2371898
31079864
41918864
53087864
63647864
74294864
84640864
95114864
105686862
117799862
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#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))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 eps)
eps
(*.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 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(log1p.f64 (expm1.f64 (sin.f64 x)))
(expm1.f64 (sin.f64 x))
(sin.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)))))))))
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))
Outputs
(*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#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 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(sin.f64 eps)
eps
(*.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)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.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 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(expm1.f64 (sin.f64 x))
(sin.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 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.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 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.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 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x))
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))
(*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 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 (*.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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64))))
(fma.f64 eps (*.f64 (sin.f64 x) #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 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 eps (sin.f64 x))

localize235.0ms (1.7%)

Memory
25.7MiB live, 259.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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))))))
✓accuracy99.8%
(*.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)))))))
✓accuracy99.6%
(*.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)))))
✓accuracy100.0%
(log1p.f64 (expm1.f64 (sin.f64 x)))
✓accuracy100.0%
(expm1.f64 (sin.f64 x))
accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy63.2%
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
✓accuracy100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.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 eps (sin.f64 x))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.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)))))
✓accuracy99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Samples
89.0ms143×1valid
79.0ms111×0valid
2.0ms2×2valid
Compiler

Compiled 266 to 40 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-add: 60.0ms (42.4% of total)
ival-mult: 34.0ms (24% of total)
adjust: 10.0ms (7.1% of total)
ival-sin: 10.0ms (7.1% of total)
ival-expm1: 8.0ms (5.7% of total)
...in/eval/compile.rkt:77:19: 8.0ms (5.7% of total)
ival-cos: 6.0ms (4.2% of total)
ival-log1p: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.6%)

Memory
5.0MiB live, 46.0MiB allocated
Counts
20 → 239
Calls
Call 1
Inputs
#<alt (*.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)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 eps)>
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))>
#<alt (log1p.f64 (expm1.f64 (sin.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 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (expm1.f64 (sin.f64 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))))))>
Outputs
#<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 (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 2 binary64) (*.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 (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (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) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<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 -1/8 binary64) (*.f64 eps (cos.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)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.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 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 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 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 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 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<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 #s(literal 1 binary64)>
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#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.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 -1/2 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)))))>
#<alt (*.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)))))>
#<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 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))))>
#<alt (*.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))))>
Calls

96 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(* -1/2 (sin x))
2.0ms
x
@-inf
(* -1/6 (cos x))
2.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
2.0ms
eps
@-inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
x
@0
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite178.0ms (1.3%)

Memory
-13.0MiB live, 145.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
310×log1p-expm1-u
309×expm1-log1p-u
304×add-cube-cbrt
301×add-exp-log
301×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042548
1662540
Stop Event
1×node limit
Counts
20 → 408
Calls
Call 1
Inputs
(*.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)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.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))))
(sin.f64 eps)
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(expm1.f64 (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 1/24 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))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.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 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.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 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (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 (*.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 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.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 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #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))))
(expm1.f64 (log1p.f64 (*.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 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.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 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.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 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(-.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)))))
(log1p.f64 (expm1.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(pow.f64 (pow.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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.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 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 eps) (sin.f64 #s(literal 0 binary64))))
(+.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 eps)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 eps)))
(-.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)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(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)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (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) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 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)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))

simplify692.0ms (5.1%)

Memory
0.3MiB live, 273.8MiB allocated
Algorithm
1×egg-herbie
Rules
436×distribute-rgt-in
422×distribute-lft-in
334×*-commutative
207×cancel-sign-sub-inv
206×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137230751
1381029943
Stop Event
1×node limit
Counts
647 → 744
Calls
Call 1
Inputs
(*.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 (*.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)))))
(+.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))))))))
(+.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)))))))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 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 1/24 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))))))))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
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(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
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(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) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
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(*.f64 #s(literal 1/2 binary64) eps)
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
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x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
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x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
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(*.f64 #s(literal 1/2 binary64) eps)
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(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 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 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
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(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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)))))
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#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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(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.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))))))
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(*.f64 eps x)
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(*.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))))))))
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(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
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(-.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))
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(*.f64 eps (cos.f64 x))
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(*.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)))))))
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(-.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))
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(-.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))
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)))))
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(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.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)))
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#s(literal -1/6 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 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))
(-.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))
(*.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)))))
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(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 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 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)) (+.f64 (*.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 (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)) (+.f64 (*.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)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (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 (*.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)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.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 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.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 (+.f64 (*.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)))
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(*.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 #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)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
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(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.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))))
(*.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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(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (*.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))) (/.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
Outputs
(*.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 (*.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)))))
(fma.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)))))
(+.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))))))))
(fma.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 (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(fma.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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) x))))
(+.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)))))))))
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eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 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 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 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 1/1920 binary64) #s(literal -1/24 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 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 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 1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/322560 binary64))) #s(literal -1/24 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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)) #s(literal -1/6 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)))))
#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)) (-.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) (*.f64 eps x))
(*.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 eps (pow.f64 x #s(literal 2 binary64))))))
(*.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 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64))))))
(*.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 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/10080 binary64))))))))
(*.f64 eps x)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 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 (*.f64 eps #s(literal 1/120 binary64)) (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 (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 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/120 binary64))))))))
(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))))
(+.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 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.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 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 #s(literal -1/6 binary64) (cos.f64 eps)))))) #s(literal 1 binary64)))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.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 x)) (sin.f64 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 (-.f64 eps (*.f64 #s(literal -1 binary64) 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 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 (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 -1/6 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 eps (*.f64 (cos.f64 x) #s(literal -1/6 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 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (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 eps x)) (sin.f64 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 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (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 eps x)) (sin.f64 x))
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)) (fma.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 x (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/6 binary64)))))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.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))
(*.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)) (-.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 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 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 eps x) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(+.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)))))))
(+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.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 eps x))))
(+.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))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (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 eps (*.f64 #s(literal -1/2 binary64) (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))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15 binary64) x) #s(literal 1/8 binary64)))))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal -1/15 binary64) #s(literal -1/8 binary64)))))))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))
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(*.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 -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
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(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))
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(*.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 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps x) #s(literal 1/12 binary64)))))
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(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))
(*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 eps #s(literal 1/2880 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps)))))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2880 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.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 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x))
(*.f64 (pow.f64 eps #s(literal 3 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 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x))
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(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)) eps))))
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(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (*.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/24 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.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 -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (*.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
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(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))
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(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
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(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
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(pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))
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(cbrt.f64 (pow.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)))))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))

eval187.0ms (1.4%)

Memory
16.3MiB live, 247.2MiB allocated
Compiler

Compiled 25 788 to 4 932 computations (80.9% saved)

prune274.0ms (2%)

Memory
-23.0MiB live, 309.9MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 06681 074
Fresh134
Picked325
Done011
Total1 070141 084
Accuracy
100.0%
Counts
1 084 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
63.2%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
58.5%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
▶99.6%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps))
98.8%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
▶99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
99.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
✓99.8%
(*.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)))))))))
▶99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶98.8%
(*.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)))))))
▶98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
99.2%
(*.f64 eps (cos.f64 x))
Compiler

Compiled 353 to 245 computations (30.6% saved)

simplify158.0ms (1.2%)

Memory
33.8MiB live, 73.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps)
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) eps)
✓cost-diff-6272
(*.f64 eps (+.f64 (cos.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
(cos.f64 x)
✓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)
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
✓cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.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-diff128
(+.f64 eps #s(literal 0 binary64))
✓cost-diff128
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
cost-diff128
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Rules
1 890×fma-define
478×distribute-lft-in
386×distribute-rgt-in
287×associate-*r*
219×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043846
1107822
2315818
3959818
41906818
52903818
62972818
72988818
82992818
92992818
104446818
114446818
124446818
134446818
144543818
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
x
(*.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 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
x
(*.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 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #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)))
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #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 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #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))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #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 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #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))))
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #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 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #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)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #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 (*.f64 eps #s(literal 1/12 binary64)) x #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 (*.f64 eps #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 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 (*.f64 #s(literal 1/12 binary64) eps) x)
(*.f64 eps (*.f64 x #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (cos.f64 x)))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps))
(*.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 #s(literal -1/2 binary64) (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 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) 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 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)

localize164.0ms (1.2%)

Memory
9.3MiB live, 201.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (cos.f64 x) eps)
accuracy100.0%
(*.f64 eps (sin.f64 x))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps)
✓accuracy100.0%
(*.f64 eps x)
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps 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 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)))))))
✓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)))))
✓accuracy99.6%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
✓accuracy100.0%
(*.f64 eps x)
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
Samples
71.0ms255×0valid
1.0ms1×1valid
Compiler

Compiled 256 to 39 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 27.0ms (54% of total)
ival-add: 8.0ms (16% of total)
ival-cos: 5.0ms (10% of total)
...in/eval/compile.rkt:77:19: 4.0ms (8% of total)
ival-sin: 3.0ms (6% of total)
ival-sub: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
0.5MiB live, 78.7MiB allocated
Counts
18 → 269
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))>
#<alt (+.f64 eps #s(literal 0 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 (cos.f64 x) eps)>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps)>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<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 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)))))))>
#<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))))>
Outputs
#<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 (*.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 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.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 -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) 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 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt #s(literal 1 binary64)>
#<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 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<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 (*.f64 eps (cos.f64 x))>
#<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 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) 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 -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<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) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.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 #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 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 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 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)) (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)) 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 (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 -1/8 binary64) (*.f64 eps (cos.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)))))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.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 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 binary64) eps)))>
Calls

96 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(* x (- (* 1/12 (* eps x)) 1/2))
4.0ms
eps
@0
(* -1/2 (* eps x))
2.0ms
x
@0
(* (* -1/2 (* eps (sin x))) eps)
1.0ms
eps
@-inf
(* x (- (* 1/12 (* eps x)) 1/2))
1.0ms
x
@inf
(* (* -1/2 (* eps (sin x))) eps)

rewrite176.0ms (1.3%)

Memory
10.4MiB live, 204.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
317×log1p-expm1-u
317×expm1-log1p-u
316×add-cube-cbrt
312×add-exp-log
312×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042483
1724467
Stop Event
1×node limit
Counts
18 → 369
Calls
Call 1
Inputs
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 (cos.f64 x) eps)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps)
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.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 (+.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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 eps #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) eps) (/.f64 #s(literal 0 binary64) eps))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) eps)
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) (neg.f64 eps))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(-.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal -1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(-.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))
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) x))
(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))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)))) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) eps))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)) (*.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))))
(pow.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))))
(pow.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))

simplify259.0ms (1.9%)

Memory
-9.3MiB live, 450.7MiB allocated
Algorithm
1×egg-herbie
Rules
504×distribute-lft-in
489×distribute-rgt-in
256×*-commutative
243×+-commutative
224×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109626490
1311025421
Stop Event
1×node limit
Counts
638 → 657
Calls
Call 1
Inputs
(*.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
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(literal 1 binary64)
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eps
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(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
Outputs
(*.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
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 eps #s(literal 1/12 binary64)) (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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 eps #s(literal 1/12 binary64)) (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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.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 eps #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))

eval214.0ms (1.6%)

Memory
-18.5MiB live, 230.2MiB allocated
Compiler

Compiled 16 909 to 3 346 computations (80.2% saved)

prune250.0ms (1.8%)

Memory
2.4MiB live, 242.2MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New8407847
Fresh246
Picked325
Done033
Total84516861
Accuracy
100.0%
Counts
861 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
63.2%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶58.5%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
▶99.3%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
98.8%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
▶100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
97.5%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.6%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
✓99.8%
(*.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)))))))))
✓98.8%
(*.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)))))))
✓98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶99.2%
(*.f64 eps (cos.f64 x))
▶98.2%
(*.f64 eps #s(literal 1 binary64))
Compiler

Compiled 383 to 266 computations (30.5% saved)

simplify221.0ms (1.6%)

Memory
25.0MiB live, 64.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x eps)
cost-diff0
(sin.f64 (+.f64 x eps))
✓cost-diff12864
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
✓cost-diff12864
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) eps)
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 eps (cos.f64 x))
✓cost-diff128
(*.f64 eps #s(literal 1 binary64))
cost-diff128
(+.f64 eps #s(literal 0 binary64))
cost-diff128
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
cost-diff128
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Rules
2 105×fma-define
719×unsub-neg
488×fmm-def
364×distribute-lft-neg-in
359×distribute-lft-in
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
039584
180584
2231580
3606580
41182580
51850580
63048580
74263580
85323580
95755580
106156580
116409580
126522572
137692572
147944572
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 x)
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(cbrt.f64 (sin.f64 x))
(sin.f64 x)
#s(literal 3 binary64)
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 x)
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 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 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(*.f64 eps #s(literal 1 binary64))
eps
eps
#s(literal 1 binary64)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(*.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)
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(cbrt.f64 (sin.f64 x))
(sin.f64 x)
#s(literal 3 binary64)

localize155.0ms (1.2%)

Memory
13.6MiB live, 248.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy99.0%
(cbrt.f64 (sin.f64 x))
✓accuracy98.9%
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
✓accuracy63.2%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
accuracy100.0%
(*.f64 (cos.f64 x) eps)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓accuracy100.0%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy100.0%
(*.f64 eps #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
✓accuracy100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))
Samples
88.0ms143×1valid
25.0ms112×0valid
1.0ms1×2valid
Compiler

Compiled 176 to 35 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 25.0ms (33.2% of total)
ival-pow: 12.0ms (15.9% of total)
ival-sin: 11.0ms (14.6% of total)
ival-cos: 8.0ms (10.6% of total)
adjust: 6.0ms (8% of total)
ival-add: 6.0ms (8% of total)
ival-sub: 4.0ms (5.3% of total)
ival-cbrt: 3.0ms (4% of total)
...in/eval/compile.rkt:76:19: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-22.9MiB live, 51.9MiB allocated
Counts
11 → 200
Calls
Call 1
Inputs
#<alt (*.f64 eps #s(literal 1 binary64))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)>
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))>
#<alt (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))>
#<alt (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))>
#<alt (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))>
#<alt (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))>
#<alt (cbrt.f64 (sin.f64 x))>
Outputs
#<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 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 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<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 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)))))>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (sin.f64 x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/3840 binary64) (sin.f64 x))))))))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/120 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<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 2 binary64) (*.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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 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) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<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 -1/8 binary64) (*.f64 eps (cos.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)))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (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) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/384 binary64) (cos.f64 x)))))))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/24 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<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) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.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 #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 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<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 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) 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 -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (cbrt.f64 x)>
#<alt (+.f64 (cbrt.f64 x) (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/324 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))))>
Calls

57 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(cbrt (sin x))
3.0ms
x
@inf
(* (* -1/2 (* eps x)) eps)
2.0ms
x
@inf
(cbrt (sin x))
2.0ms
x
@inf
(* (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
eps
@inf
(* (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite247.0ms (1.8%)

Memory
-4.3MiB live, 158.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
458×log1p-expm1-u
250×expm1-log1p-u
248×associate-*r*
243×add-cube-cbrt
242×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039337
1642254
27986254
Stop Event
1×node limit
Counts
11 → 313
Calls
Call 1
Inputs
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps)
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(cbrt.f64 (sin.f64 x))
Outputs
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 eps (cos.f64 x)))
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(/.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (cos.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x))))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) eps)
(pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 1 binary64)))

simplify441.0ms (3.3%)

Memory
1.6MiB live, 360.4MiB allocated
Algorithm
1×egg-herbie
Rules
703×fma-define
625×fmm-def
473×*-commutative
381×distribute-rgt-in
376×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093922857
1247021351
2701421332
Stop Event
1×node limit
Counts
513 → 570
Calls
Call 1
Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(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))
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x
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(cos.f64 x)
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(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 1 binary64)))
Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (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 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 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 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/720 binary64)))) (*.f64 eps #s(literal -1/2 binary64))) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(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 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)) #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 (+.f64 (cos.f64 eps) (*.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 #s(literal -1/2 binary64) (sin.f64 eps) (*.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 (+.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 x)) (sin.f64 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 (-.f64 eps (*.f64 #s(literal -1 binary64) 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 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 (*.f64 eps #s(literal -1/2 binary64)) (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 -1/6 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 (*.f64 eps #s(literal -1/6 binary64)) (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 -1/6 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 eps #s(literal 1/24 binary64)) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/24 binary64)) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.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 eps x)) (sin.f64 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 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (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 eps x)) (sin.f64 x))
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)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 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)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 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 x (+.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 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) #s(literal 1/3840 binary64))))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/3840 binary64) (sin.f64 x))))))))
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/645120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/3840 binary64))))))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) (*.f64 (sin.f64 x) #s(literal -1/48 binary64))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 x (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
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(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
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(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
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(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
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(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 x)))) #s(literal 1 binary64))
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(cbrt.f64 (sin.f64 x))
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(cbrt.f64 (sin.f64 x))
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(cbrt.f64 (sin.f64 x))
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(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) #s(literal 1/3 binary64))
(cbrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 1 binary64))
(cbrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64))
(cbrt.f64 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
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(cbrt.f64 (sin.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (sin.f64 x)))))
(cbrt.f64 (sin.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1/3 binary64)))
(cbrt.f64 (sin.f64 x))
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(cbrt.f64 (sin.f64 x))

eval158.0ms (1.2%)

Memory
6.5MiB live, 173.4MiB allocated
Compiler

Compiled 19 193 to 3 087 computations (83.9% saved)

prune122.0ms (0.9%)

Memory
9.2MiB live, 246.7MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New8995904
Fresh156
Picked235
Done055
Total90218920
Accuracy
100.0%
Counts
920 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
63.2%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓58.5%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓63.1%
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
✓99.3%
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
98.8%
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
97.6%
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
97.5%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.6%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
✓99.8%
(*.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)))))))))
✓98.8%
(*.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)))))))
✓98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓99.2%
(*.f64 eps (cos.f64 x))
98.2%
eps
Compiler

Compiled 686 to 318 computations (53.6% saved)

regimes27.0ms (0.2%)

Memory
6.4MiB live, 44.9MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(*.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 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #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 (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 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 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 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Calls

3 calls:

9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
eps
8.0ms
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)

regimes26.0ms (0.2%)

Memory
0.3MiB live, 38.9MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(*.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 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) eps))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #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 (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 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 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 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.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)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.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 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Calls

3 calls:

11.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
eps
7.0ms
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)

regimes15.0ms (0.1%)

Memory
-0.1MiB live, 37.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(*.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 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
Calls

3 calls:

6.0ms
eps
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
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)

regimes7.0ms (0.1%)

Memory
-22.3MiB live, 16.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(*.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:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
(*.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 eps x)))))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative
7×+-commutative
4×sub-neg
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032231
152231
264231
370231
474231
575231
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
eps
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)))
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x)))))
eps

soundness724.0ms (5.4%)

Memory
-15.1MiB live, 621.0MiB allocated
Rules
978×log1p-expm1-u
978×expm1-log1p-u
654×distribute-lft-in
511×fmm-def
481×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042483
1724467
0137230751
1381029943
054210705
1122410322
235859977
01268
116068
2246068
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 622 to 210 computations (66.2% saved)

preprocess69.0ms (0.5%)

Memory
-16.4MiB live, 142.9MiB allocated
Compiler

Compiled 234 to 128 computations (45.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...