2cos (problem 3.3.5)

Time bar (total: 16.5s)

analyze41.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample9.2s (55.5%)

Samples
3.2s24 322×0invalid
3.1s5 427×2valid
1.1s2 358×1valid
55.0ms471×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.1s
ival-cos: 3.0s (49.4% of total)
...in/eval/compile.rkt:77:19: 772.0ms (12.7% of total)
ival-fabs: 412.0ms (6.8% of total)
ival-add: 347.0ms (5.7% of total)
ival-<: 326.0ms (5.4% of total)
ival-sub: 297.0ms (4.9% of total)
adjust: 281.0ms (4.6% of total)
ival-mult: 264.0ms (4.3% of total)
ival-<=: 197.0ms (3.2% of total)
ival-and: 127.0ms (2.1% of total)
...in/eval/compile.rkt:76:19: 35.0ms (0.6% of total)
ival-assert: 19.0ms (0.3% of total)
Bogosity

preprocess78.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
158×fmm-def
91×fma-define
54×sub-neg
41×associate--r+
36×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027234
149218
296210
3184210
4349210
5486210
6636210
7762210
8796210
9822210
10828210
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

explain207.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-1(14.058847574476369 0.0018673275078344978)(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50-0-(cos.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))cancellation1313
cos.f64(cos.f64 (+.f64 x eps))sensitivity50
Confusion
Predicted +Predicted -
+1340
-0122
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-02120
Precision?
0.9852941176470589
Recall?
1.0
Freqs
test
numberfreq
0122
1132
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
126.0ms322×2valid
29.0ms160×1valid
2.0ms30×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-cos: 103.0ms (77.8% of total)
ival-sub: 15.0ms (11.3% of total)
adjust: 8.0ms (6% of total)
ival-add: 6.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify97.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

localize77.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.6%
(cos.f64 (+.f64 x eps))
✓accuracy55.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Samples
55.0ms161×2valid
11.0ms80×1valid
1.0ms15×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-cos: 43.0ms (79.4% of total)
adjust: 4.0ms (7.4% of total)
ival-add: 3.0ms (5.5% of total)
ival-sub: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0%)

Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (cos.f64 x)>
Outputs
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))>
#<alt (cos.f64 eps)>
#<alt (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (+.f64 eps x))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(- (cos (+ x eps)) (cos x))
1.0ms
eps
@inf
(- (cos (+ x eps)) (cos x))
1.0ms
x
@0
(- (cos (+ x eps)) (cos x))
0.0ms
x
@-inf
(- (cos (+ x eps)) (cos x))
0.0ms
eps
@-inf
(- (cos (+ x eps)) (cos x))

rewrite297.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
454×fma-define
401×log-prod
235×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
116168
2245868
Stop Event
1×node limit
Counts
4 → 230
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.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))) (sin.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))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
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(pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
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(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
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(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.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) (cos.f64 x))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))

simplify227.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
595×distribute-lft-in
524×fmm-def
518×distribute-rgt-in
481×times-frac
316×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055211647
1122211110
2334710801
Stop Event
1×node limit
Counts
306 → 345
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))
(cos.f64 (+.f64 eps x))
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(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
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(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
(cos.f64 (+.f64 eps x))
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(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
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(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.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)
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(+.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))))
#s(literal 1 binary64)
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(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.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 (sin.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.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) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
Outputs
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 eps)))) #s(literal 1 binary64)))
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(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)

eval44.0ms (0.3%)

Compiler

Compiled 5 769 to 1 035 computations (82.1% saved)

prune113.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New33213345
Fresh000
Picked011
Done000
Total33214346
Accuracy
99.8%
Counts
346 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.0%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
53.9%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
54.9%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓54.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
53.1%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶52.9%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶53.7%
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
82.5%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶99.4%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
75.7%
(*.f64 (neg.f64 eps) (sin.f64 x))
96.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
▶97.2%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
▶96.3%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
Compiler

Compiled 421 to 290 computations (31.1% saved)

simplify298.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
✓cost-diff64
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
✓cost-diff64
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓cost-diff0
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(*.f64 (neg.f64 x) (sin.f64 eps))
✓cost-diff0
(cos.f64 eps)
✓cost-diff64
(-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
✓cost-diff128
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
✓cost-diff128
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
✓cost-diff256
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Rules
770×unsub-neg
690×distribute-lft-neg-in
502×fmm-def
433×cancel-sign-sub-inv
427×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511136
11191112
22561112
35481080
412421078
524971078
649321078
765121078
871081078
972601078
1072881078
1173141078
1274451078
1378941078
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(literal -2 binary64)
(sin.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))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
eps
#s(literal 1 binary64)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(cos.f64 eps)
eps
(-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (sin.f64 eps))
(neg.f64 x)
x
(sin.f64 eps)
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
#s(literal -1/6 binary64)
(sin.f64 x)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.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)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
eps
#s(literal 1 binary64)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(cos.f64 eps)
eps
(-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))
(*.f64 (neg.f64 x) (sin.f64 eps))
(*.f64 x (neg.f64 (sin.f64 eps)))
(neg.f64 x)
x
(sin.f64 eps)
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))
(*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(sin.f64 x)

localize295.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
✓accuracy99.7%
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
✓accuracy99.4%
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
✓accuracy100.0%
(*.f64 eps (sin.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(*.f64 (neg.f64 x) (sin.f64 eps))
✓accuracy55.5%
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
✓accuracy100.0%
(cos.f64 eps)
✓accuracy55.4%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
✓accuracy100.0%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
✓accuracy99.6%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Samples
116.0ms165×1valid
92.0ms78×2valid
5.0ms12×0valid
2.0ms1×3valid
Compiler

Compiled 320 to 47 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-mult: 51.0ms (31% of total)
ival-cos: 34.0ms (20.7% of total)
adjust: 22.0ms (13.4% of total)
ival-sin: 17.0ms (10.3% of total)
...in/eval/compile.rkt:77:19: 13.0ms (7.9% of total)
ival-sub: 12.0ms (7.3% of total)
ival-add: 12.0ms (7.3% of total)
ival-neg: 2.0ms (1.2% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series162.0ms (1%)

Counts
22 → 299
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))>
#<alt (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (cos.f64 eps)>
#<alt (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64))>
#<alt (*.f64 (neg.f64 x) (sin.f64 eps))>
#<alt (neg.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 x))>
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Calls

111 calls:

TimeVariablePointExpression
101.0ms
eps
@-inf
(- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))
7.0ms
eps
@inf
(+ (* 1/2 eps) 0)
3.0ms
eps
@0
(* 1/6 (* eps (sin x)))
2.0ms
x
@inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
2.0ms
x
@-inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))

rewrite185.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
394×log1p-expm1-u
394×expm1-log1p-u
388×add-cube-cbrt
385×add-exp-log
385×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051738
1853722
Stop Event
1×node limit
Counts
22 → 411
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
(-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (sin.f64 eps))
(neg.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (sin.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 -2 binary64) (sin.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 -2 binary64) (sin.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 -2 binary64) (sin.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 -2 binary64)) (sin.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 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.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 -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(pow.f64 (cos.f64 eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (neg.f64 (*.f64 x (sin.f64 eps)))))
(log1p.f64 (expm1.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64))
(fma.f64 (sin.f64 eps) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) (sqrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x (sin.f64 eps))))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 (*.f64 x (sin.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 x (sin.f64 eps)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (sin.f64 eps)))
(log.f64 (exp.f64 (neg.f64 (*.f64 x (sin.f64 eps)))))
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(pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 1 binary64)))

simplify466.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
769×fmm-def
443×distribute-lft-in
434×distribute-rgt-in
341×+-commutative
329×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0132329637
1337728996
2750128836
Stop Event
1×node limit
Counts
710 → 838
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.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)) (-.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)))))
(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 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 x))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (sin.f64 x)))))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) x)
#s(literal -1/2 binary64)
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(*.f64 eps x)
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.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 binary64) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))
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(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))
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(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
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(sin.f64 x)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
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(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x)))))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x))))) (neg.f64 (sin.f64 x))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.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 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 1 binary64))
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(fma.f64 (neg.f64 eps) x #s(literal -1 binary64))
(fma.f64 eps (neg.f64 x) #s(literal -1 binary64))
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(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))

eval358.0ms (2.2%)

Compiler

Compiled 22 803 to 4 347 computations (80.9% saved)

prune231.0ms (1.4%)

Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New96223985
Fresh358
Picked235
Done011
Total96732999
Accuracy
100.0%
Counts
999 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
54.4%
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
55.3%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.0%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
53.9%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
54.9%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓54.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶53.1%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓52.9%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶49.6%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
94.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
82.0%
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
97.9%
(*.f64 (*.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 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
96.0%
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
▶99.0%
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
87.0%
(*.f64 (sin.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
75.7%
(*.f64 (sin.f64 x) (neg.f64 eps))
95.5%
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
96.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
▶95.9%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
✓97.2%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓96.3%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
94.6%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
95.2%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
94.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
95.3%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
94.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
93.4%
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
52.9%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
52.3%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
54.4%
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
▶99.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
Compiler

Compiled 1 020 to 717 computations (29.7% saved)

simplify93.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
✓cost-diff6720
(/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
✓cost-diff6720
(sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))
✓cost-diff6848
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 (*.f64 eps x) #s(literal 1/6 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
cost-diff0
(+.f64 x eps)
cost-diff0
(cos.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff-6144
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
Rules
666×times-frac
598×distribute-lft-neg-in
530×distribute-rgt-neg-in
456×swap-sqr
432×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046772
193736
2201736
3435688
42580688
54312688
67954688
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
#s(literal -2 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.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 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 (*.f64 eps x) #s(literal 1/6 binary64))
(*.f64 eps x)
#s(literal 1/6 binary64)
(sin.f64 x)
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(literal -2 binary64)
(sin.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))
(fma.f64 #s(literal 2 binary64) x eps)
x
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(literal -2 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 #s(literal -2 binary64) x)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 1 binary64)
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 (*.f64 eps x) #s(literal 1/6 binary64))
(*.f64 eps (*.f64 x #s(literal 1/6 binary64)))
(*.f64 eps x)
#s(literal 1/6 binary64)
(sin.f64 x)
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
eps
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) (sin.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) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(literal -2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) eps)
x

localize221.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
accuracy99.6%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓accuracy55.8%
(/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
✓accuracy100.0%
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
✓accuracy99.7%
(*.f64 (*.f64 eps x) #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 x eps)
accuracy99.6%
(cos.f64 (+.f64 x eps))
✓accuracy55.1%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
✓accuracy99.8%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
✓accuracy99.6%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Samples
134.0ms234×1valid
7.0ms18×0valid
5.0ms3×2valid
2.0ms1×3valid
Compiler

Compiled 236 to 41 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 41.0ms (36.4% of total)
ival-sin: 18.0ms (16% of total)
ival-cos: 13.0ms (11.6% of total)
adjust: 11.0ms (9.8% of total)
ival-sub: 9.0ms (8% of total)
ival-add: 7.0ms (6.2% of total)
ival-pow2: 5.0ms (4.4% of total)
ival-div: 4.0ms (3.6% of total)
...in/eval/compile.rkt:77:19: 4.0ms (3.6% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.2%)

Counts
16 → 220
Calls
Call 1
Inputs
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))>
#<alt (*.f64 eps x)>
#<alt (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))>
#<alt (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))>
#<alt (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.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 (sin.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 (sin.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) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))>
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#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) (sin.f64 x))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/6 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) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 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) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)))>
#<alt (*.f64 #s(literal 1/6 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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal 1/6 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) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 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) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* -2 x)
4.0ms
eps
@-inf
(* (* eps x) 1/6)
1.0ms
eps
@-inf
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
1.0ms
eps
@-inf
(* (sin (/ (pow (* eps 1/2) 2) (* eps 1/2))) (* -2 (sin (* 1/2 (+ (* 2 x) eps)))))
1.0ms
x
@-inf
(* eps (- (* eps (+ (* -1/2 (cos x)) (* (* eps x) 1/6))) (sin x)))

rewrite186.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
333×log1p-expm1-u
333×expm1-log1p-u
321×add-exp-log
321×add-cube-cbrt
320×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046480
1730459
Stop Event
1×node limit
Counts
16 → 298
Calls
Call 1
Inputs
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (*.f64 eps x) #s(literal 1/6 binary64))
(*.f64 eps x)
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) #s(literal 1/2 binary64))
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(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x))))))
(pow.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(fma.f64 (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)))))
(pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))

simplify321.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
741×associate-*r*
652×fma-define
601×associate-*l*
232×distribute-rgt-in
228×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089721108
1238219651
Stop Event
1×node limit
Counts
518 → 523
Calls
Call 1
Inputs
(*.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)) (-.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 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.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 (sin.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 (sin.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) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
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(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)))))
(pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))
Outputs
(*.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 (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 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 (fma.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)) #s(literal 1/2 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)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) #s(literal -1 binary64)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))) #s(literal -1 binary64))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps)) (neg.f64 (sin.f64 eps))) #s(literal -1 binary64)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (sin.f64 eps)))) (sin.f64 eps))) #s(literal 1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 x (*.f64 #s(literal 1/6 binary64) (sin.f64 eps)))) (neg.f64 (sin.f64 eps))) #s(literal -1 binary64)))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
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(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 x)))
(fma.f64 (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 3 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64))))))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) eps))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))))

eval158.0ms (1%)

Compiler

Compiled 16 049 to 3 210 computations (80% saved)

prune135.0ms (0.8%)

Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New78615801
Fresh91423
Picked235
Done044
Total79736833
Accuracy
100.0%
Counts
833 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶54.4%
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
55.3%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.0%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
53.9%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
▶54.9%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓54.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓53.1%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
49.9%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓52.9%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
94.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
54.4%
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
75.7%
(*.f64 (sin.f64 x) (neg.f64 eps))
96.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
✓95.9%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
✓97.2%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓96.3%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
94.6%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
95.2%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
95.3%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
94.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
93.0%
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) x))))
95.9%
(*.f64 eps (*.f64 x (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) x))))
▶52.9%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
52.3%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
81.6%
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) x))))
54.4%
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
54.9%
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
97.9%
(*.f64 #s(literal -2 binary64) (*.f64 (*.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))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
96.0%
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
▶99.3%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
98.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))))
96.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))))
✓99.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
50.9%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
▶49.6%
#s(literal 0 binary64)
Compiler

Compiled 1 124 to 784 computations (30.2% saved)

simplify457.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 x eps))
✓cost-diff0
(exp.f64 (cos.f64 (+.f64 x eps)))
✓cost-diff12800
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
✓cost-diff12800
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
✓cost-diff64
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
✓cost-diff6528
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
✓cost-diff-6272
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff-6272
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(pow.f64 eps #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff256
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
Rules
1 059×fma-define
914×fmm-def
589×associate-*r*
341×distribute-lft-in
316×associate-*l*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
041571
187563
2162541
3315517
4490517
5822513
61969513
72824513
84388513
95261513
105606513
115664513
125689513
135696513
146462513
156594513
166594513
176594513
186594513
196594513
207310513
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
#s(literal -2 binary64)
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal 0 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
(sin.f64 eps)
eps
#s(literal 2 binary64)
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
#s(literal 1 binary64)
(cos.f64 eps)
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
#s(literal -2 binary64)
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 #s(literal -2 binary64) x)
x
#s(literal 0 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))
(*.f64 (neg.f64 (sin.f64 eps)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal -1/2 binary64))))
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
(sin.f64 eps)
eps
#s(literal 2 binary64)
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
#s(literal 1 binary64)
(cos.f64 eps)
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (cos.f64 (+.f64 x eps)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(cos.f64 x)

localize350.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (cos.f64 (+.f64 x eps)))
✓accuracy100.0%
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
accuracy99.6%
(cos.f64 (+.f64 x eps))
✓accuracy55.3%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
✓accuracy99.9%
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
✓accuracy99.9%
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓accuracy99.7%
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
✓accuracy99.8%
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
accuracy99.6%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Samples
180.0ms160×2valid
47.0ms80×1valid
5.0ms15×0valid
4.0ms1×5exit
Compiler

Compiled 190 to 37 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-cos: 50.0ms (28.2% of total)
ival-exp: 22.0ms (12.4% of total)
ival-mult: 22.0ms (12.4% of total)
ival-log: 18.0ms (10.1% of total)
adjust: 15.0ms (8.4% of total)
ival-div: 13.0ms (7.3% of total)
ival-sin: 11.0ms (6.2% of total)
ival-sub: 8.0ms (4.5% of total)
ival-add: 5.0ms (2.8% of total)
ival-pow2: 5.0ms (2.8% of total)
...in/eval/compile.rkt:77:19: 4.0ms (2.3% of total)
ival-neg: 3.0ms (1.7% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.1%)

Counts
18 → 222
Calls
Call 1
Inputs
#<alt (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))>
#<alt (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))>
#<alt (pow.f64 (sin.f64 eps) #s(literal 2 binary64))>
#<alt (sin.f64 eps)>
#<alt (-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))>
#<alt (log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))>
#<alt (exp.f64 (cos.f64 (+.f64 x eps)))>
#<alt (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 eps))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
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#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
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#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.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 (sin.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 (sin.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 (sin.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) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))>
#<alt (+.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 -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))>
#<alt (+.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 -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 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(sin (/ 1 (/ 1 (* 1/2 eps))))
1.0ms
eps
@inf
(/ (pow (sin eps) 2) (neg (+ 1 (cos eps))))
1.0ms
eps
@-inf
(/ (pow (sin eps) 2) (neg (+ 1 (cos eps))))
1.0ms
x
@0
(exp (cos (+ x eps)))
1.0ms
eps
@0
(exp (cos (+ x eps)))

rewrite200.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
301×log1p-expm1-u
301×expm1-log1p-u
294×add-exp-log
294×add-log-exp
294×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040403
1683372
Stop Event
1×node limit
Counts
18 → 432
Calls
Call 1
Inputs
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(pow.f64 (sin.f64 eps) #s(literal 2 binary64))
(sin.f64 eps)
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (cos.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(neg.f64 (*.f64 eps #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) eps) #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 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
(*.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) eps)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) eps)) (sqrt.f64 (/.f64 #s(literal 2 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) eps))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) eps))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps eps)
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
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(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(exp.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 eps)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal 1 binary64))

simplify355.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
680×fma-define
577×fmm-def
430×*-commutative
266×distribute-rgt-in
249×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0114021105
1270420084
2711820020
Stop Event
1×node limit
Counts
654 → 694
Calls
Call 1
Inputs
(*.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)) (-.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)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(exp.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 eps)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal 1 binary64))
Outputs
(*.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 (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 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 (fma.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)) #s(literal 1/2 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)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/24 binary64)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
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#s(literal -1/2 binary64)
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/24 binary64))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))
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#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -2 binary64))
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(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 2 binary64))
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(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
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(-.f64 #s(literal -1 binary64) (cos.f64 eps))
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(-.f64 #s(literal -1 binary64) (cos.f64 eps))
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(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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eps
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
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(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
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(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
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(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 #s(literal -1 binary64) (cos.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(exp.f64 (log1p.f64 (cos.f64 eps)))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 eps))

eval125.0ms (0.8%)

Compiler

Compiled 15 631 to 3 408 computations (78.2% saved)

prune179.0ms (1.1%)

Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New8655870
Fresh22224
Picked325
Done077
Total87036906
Accuracy
100.0%
Counts
906 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
55.3%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.0%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
53.9%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
✓54.9%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓54.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓53.1%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
49.9%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓52.9%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
49.7%
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
94.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
54.4%
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
75.7%
(*.f64 (sin.f64 x) (neg.f64 eps))
54.5%
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
96.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
✓95.9%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
✓97.2%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓96.3%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
94.6%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
95.2%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
95.3%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
94.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
93.0%
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) x))))
95.9%
(*.f64 eps (*.f64 x (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) x))))
52.9%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
52.3%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
81.6%
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) x))))
54.4%
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
54.9%
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)))
97.9%
(*.f64 #s(literal -2 binary64) (*.f64 (*.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))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
96.0%
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
99.3%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
98.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))))
96.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))))
✓99.4%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
✓49.6%
#s(literal 0 binary64)
Compiler

Compiled 1 476 to 709 computations (52% saved)

regimes132.0ms (0.8%)

Counts
57 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))
(*.f64 eps (*.f64 x (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) x))))
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) x))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.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))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))))
(*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))))
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(*.f64 (*.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 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sin.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Calls

3 calls:

101.0ms
x
15.0ms
eps
13.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes36.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
Calls

3 calls:

16.0ms
eps
10.0ms
x
8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes134.0ms (0.8%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Calls

3 calls:

7.0ms
eps
7.0ms
x
6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
96.1%1x
98.7%2eps
98.6%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Calls

1 calls:

6.0ms
eps
Results
AccuracySegmentsBranch
98.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
eps
Results
AccuracySegmentsBranch
98.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (cos.f64 eps))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
Calls

2 calls:

5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
95.3%1x
95.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
94.6%1x
94.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Outputs
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
52.3%1x
52.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
Calls

2 calls:

6.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
49.6%1eps
49.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.3514063130306275e-5
0.0001830103080878555
Samples
9.0ms92×1valid
0.0ms4×0valid
Compiler

Compiled 156 to 113 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (49.3% of total)
adjust: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-sub: 1.0ms (16.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.3514063130306275e-5
0.0001830103080878555
Samples
9.0ms93×1valid
0.0ms3×0valid
Compiler

Compiled 174 to 125 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (50.7% of total)
adjust: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
ival-sub: 1.0ms (16.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch6.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
0.0018673275078344978
0.0032350755483167484
Samples
3.0ms64×0valid
Compiler

Compiled 116 to 87 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 1.0ms (56.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
27×*-commutative
17×+-commutative
13×sub-neg
7×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070487
1117483
2141483
3157483
4163483
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 eps #s(literal 5902958103587057/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 760928193040519/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 8762203435012037/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(if (<=.f64 eps #s(literal 5902958103587057/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 5902958103587057/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 760928193040519/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 760928193040519/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 8762203435012037/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 8762203435012037/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 8762203435012037/4611686018427387904 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

soundness834.0ms (5%)

Rules
974×log1p-expm1-u
974×expm1-log1p-u
769×fmm-def
595×distribute-lft-in
524×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046480
1730459
055211647
1122211110
2334710801
01268
116168
2245868
0132329637
1337728996
2750128836
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 705 to 243 computations (65.5% saved)

preprocess95.0ms (0.6%)

Compiler

Compiled 350 to 172 computations (50.9% saved)

end0.0ms (0%)

Profiling

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