2cos (problem 3.3.5)

Time bar (total: 14.6s)

analyze97.0ms (0.7%)

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

Compiled 27 to 19 computations (29.6% saved)

sample8.5s (58.5%)

Samples
3.2s24 847×0invalid
2.8s5 542×2valid
624.0ms2 261×1valid
57.0ms453×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.3s
ival-cos: 2.5s (47% of total)
...in/eval/compile.rkt:77:19: 772.0ms (14.7% of total)
ival-<=: 340.0ms (6.5% of total)
ival-sub: 331.0ms (6.3% of total)
ival-add: 310.0ms (5.9% of total)
ival-mult: 237.0ms (4.5% of total)
ival-fabs: 223.0ms (4.2% of total)
adjust: 220.0ms (4.2% of total)
ival-<: 171.0ms (3.3% of total)
ival-and: 127.0ms (2.4% of total)
...in/eval/compile.rkt:76:19: 35.0ms (0.7% of total)
ival-assert: 17.0ms (0.3% of total)
Bogosity

preprocess70.0ms (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))

explain233.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-1(6.926448168498555e-39 0.1479620624611294)(-.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))cancellation1232
cos.f64(cos.f64 (+.f64 x eps))sensitivity50
Confusion
Predicted +Predicted -
+1271
-0128
Precision
1.0
Recall
0.9921875
Confusion?
Predicted +Predicted MaybePredicted -
+12710
-01127
Precision?
0.9922480620155039
Recall?
1.0
Freqs
test
numberfreq
0129
1126
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
164.0ms348×2valid
19.0ms136×1valid
2.0ms28×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-cos: 140.0ms (86.4% of total)
adjust: 9.0ms (5.6% of total)
ival-add: 6.0ms (3.7% of total)
ival-sub: 6.0ms (3.7% 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
▶56.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

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)

localize87.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.3%
(cos.f64 (+.f64 x eps))
✓accuracy57.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Samples
66.0ms174×2valid
10.0ms68×1valid
1.0ms14×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 51.0ms (80.6% of total)
adjust: 6.0ms (9.5% of total)
ival-add: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (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
1.0ms
eps
@inf
(- (cos (+ x eps)) (cos x))
1.0ms
x
@0
(- (cos (+ x eps)) (cos x))
1.0ms
eps
@0
(- (cos (+ x eps)) (cos x))
0.0ms
x
@-inf
(- (cos (+ x eps)) (cos x))
0.0ms
eps
@-inf
(- (cos (+ x eps)) (cos x))

rewrite381.0ms (2.6%)

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 (*.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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(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)))
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(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 (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))
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(*.f64 #s(literal 1 binary64) (cos.f64 x))
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(*.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)))

simplify199.0ms (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)
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(+.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)

eval70.0ms (0.5%)

Compiler

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

prune91.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New32916345
Fresh000
Picked011
Done000
Total32917346
Accuracy
99.8%
Counts
346 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
57.3%
(-.f64 (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))) (cos.f64 x))
▶57.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
55.9%
(-.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))
55.7%
(-.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))
55.6%
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))) (cos.f64 x))
▶56.8%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓56.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
55.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
51.8%
(-.f64 (cos.f64 x) (cos.f64 x))
▶54.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
84.9%
(*.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))
▶99.2%
(*.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)))))
74.5%
(*.f64 (neg.f64 eps) (sin.f64 x))
▶95.9%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
96.1%
(*.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)))
56.7%
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal 3 binary64)))
Compiler

Compiled 525 to 340 computations (35.2% saved)

simplify273.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 eps)
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (cos.f64 eps))
✓cost-diff64
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
cost-diff0
(cos.f64 (+.f64 x eps))
✓cost-diff0
(log1p.f64 (cos.f64 (+.f64 x eps)))
✓cost-diff12800
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
✓cost-diff12800
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓cost-diff0
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓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
789×fmm-def
680×unsub-neg
499×sub-neg
480×distribute-neg-in
380×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041681
184677
2153671
3308626
4583626
51298626
63945626
75741626
86668626
97327626
107570626
117811626
127916626
137925626
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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(cos.f64 x)
x
(sin.f64 x)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin.f64 x)
(sin.f64 eps)
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) eps)) (*.f64 #s(literal -2 binary64) (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 eps #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(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 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 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(sin.f64 x)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal 0 binary64)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal 0 binary64))
(cos.f64 (+.f64 eps x))
(log1p.f64 (cos.f64 (+.f64 x eps)))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal 0 binary64))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(cos.f64 x)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cos.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (sin.f64 x) (sin.f64 eps))
(sin.f64 x)
(sin.f64 eps)

localize418.0ms (2.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (cos.f64 x) (cos.f64 eps))
✓accuracy100.0%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓accuracy100.0%
(*.f64 (sin.f64 x) (sin.f64 eps))
✓accuracy57.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓accuracy100.0%
(log1p.f64 (cos.f64 (+.f64 x eps)))
✓accuracy100.0%
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
accuracy99.3%
(cos.f64 (+.f64 x eps))
✓accuracy57.4%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓accuracy100.0%
(cos.f64 eps)
✓accuracy57.8%
(-.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)))))
✓accuracy99.4%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Samples
297.0ms172×2valid
43.0ms69×1valid
7.0ms2×3valid
4.0ms13×0valid
Compiler

Compiled 184 to 37 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-cos: 140.0ms (46.3% of total)
ival-sub: 44.0ms (14.5% of total)
ival-mult: 32.0ms (10.6% of total)
ival-log1p: 20.0ms (6.6% of total)
ival-sin: 20.0ms (6.6% of total)
adjust: 19.0ms (6.3% of total)
ival-expm1: 19.0ms (6.3% of total)
ival-add: 7.0ms (2.3% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series159.0ms (1.1%)

Counts
18 → 344
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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))>
#<alt (log1p.f64 (cos.f64 (+.f64 x eps)))>
#<alt (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))>
#<alt (*.f64 (cos.f64 x) (cos.f64 eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 eps))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))>
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))))))>
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#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (+.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)))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 x (sin.f64 eps))>
#<alt (*.f64 x (+.f64 (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)))))>
#<alt (*.f64 x (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)))))))>
#<alt (*.f64 x (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))) (*.f64 #s(literal 1/120 binary64) (sin.f64 eps))))))))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))))))))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.f64 x))>
#<alt (*.f64 (sin.f64 eps) (sin.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 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 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 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))>
Calls

93 calls:

TimeVariablePointExpression
42.0ms
eps
@-inf
(log (+ 1 (cos (+ x eps))))
38.0ms
x
@inf
(log (+ 1 (cos (+ x eps))))
17.0ms
eps
@inf
(log (+ 1 (cos (+ x eps))))
16.0ms
x
@-inf
(log (+ 1 (cos (+ x eps))))
3.0ms
x
@0
(* (* -1/2 eps) (cos x))

rewrite180.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
284×log1p-expm1-u
283×expm1-log1p-u
276×add-cube-cbrt
272×add-exp-log
272×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041423
1623423
Stop Event
1×node limit
Counts
18 → 543
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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (cos.f64 (+.f64 x eps)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
(+.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))))) (*.f64 (*.f64 (cos.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 (*.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)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(-.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))
(sqrt.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 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 (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 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 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 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(*.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))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.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 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.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))))
(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)))
(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)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (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 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))

simplify304.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
357×distribute-rgt-in
354×distribute-lft-in
298×*-commutative
244×fmm-def
213×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129938065
1349235622
Stop Event
1×node limit
Counts
887 → 769
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)))))
(*.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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(+.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(*.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (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 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (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 eps (*.f64 #s(literal -1/2 binary64) (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 (+.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 #s(literal 1/24 binary64) eps) (cos.f64 x)))))) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.f64 #s(literal -2 binary64) (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 (*.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))))))
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#s(literal 1 binary64)
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(neg.f64 (sin.f64 x))
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(neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (-.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 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))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 2 binary64) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))))) (-.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 eps))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (cos.f64 (+.f64 eps x))) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal 0 binary64))) (+.f64 #s(literal 2 binary64) (cos.f64 (+.f64 eps x))))
(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(cos.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 3 binary64))
(cos.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(cos.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 eps x)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))

eval125.0ms (0.9%)

Compiler

Compiled 19 779 to 3 639 computations (81.6% saved)

prune149.0ms (1%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New1 000221 022
Fresh7411
Picked235
Done011
Total1 009301 039
Accuracy
100.0%
Counts
1 039 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.3%
(-.f64 (-.f64 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶55.7%
(-.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))
79.3%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
94.7%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
✓56.8%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓56.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶55.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓54.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶51.8%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
95.9%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
98.5%
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #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)))))
95.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
56.3%
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
84.9%
(*.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))
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)))))
98.5%
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
74.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
✓95.9%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
95.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
96.1%
(*.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)))
94.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
95.1%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
94.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
▶95.8%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
54.4%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
83.2%
(*.f64 eps (cbrt.f64 (pow.f64 (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 3 binary64))))
56.3%
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
▶99.2%
(*.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))))))
51.8%
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
Compiler

Compiled 781 to 560 computations (28.3% saved)

simplify86.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 eps))
cost-diff0
(cos.f64 eps)
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(/.f64 (sin.f64 x) eps)
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
637×distribute-lft-out
417×fma-define
350×sub-neg
348×times-frac
323×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041791
188759
2177739
3409715
4914697
52754697
66478697
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 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(/.f64 (sin.f64 x) eps)
(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 (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))))
(cos.f64 eps)
eps
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 eps))
#s(literal -1/2 binary64)
(sin.f64 eps)
#s(literal 1 binary64)
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) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.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 x #s(literal 2 binary64) eps)))))
(*.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))))
(*.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) (+.f64 eps (*.f64 x #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 (*.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) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(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) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.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))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(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 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) (*.f64 eps eps))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) (neg.f64 eps)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(/.f64 (sin.f64 x) eps)
(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 (+.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) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))
(+.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))))
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))
(cos.f64 eps)
eps
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))
(*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)))
x
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps))
(-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 eps))
#s(literal -1/2 binary64)
(sin.f64 eps)
#s(literal 1 binary64)

localize221.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
✓accuracy57.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))
✓accuracy57.5%
(-.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))
✓accuracy100.0%
(/.f64 (sin.f64 x) eps)
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
✓accuracy99.8%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
✓accuracy99.5%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
accuracy100.0%
(+.f64 x eps)
accuracy99.3%
(cos.f64 (+.f64 x eps))
✓accuracy57.4%
(-.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)))))
✓accuracy99.4%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Samples
85.0ms173×1valid
74.0ms67×2valid
9.0ms2×3valid
4.0ms14×0valid
Compiler

Compiled 217 to 36 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-cos: 45.0ms (33.1% of total)
ival-mult: 34.0ms (25% of total)
ival-sin: 17.0ms (12.5% of total)
ival-sub: 14.0ms (10.3% of total)
adjust: 13.0ms (9.6% of total)
ival-add: 9.0ms (6.6% of total)
ival-div: 3.0ms (2.2% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.2%)

Counts
20 → 192
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 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (/.f64 (sin.f64 x) eps)>
#<alt (sin.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))>
#<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 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))>
#<alt (*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))>
#<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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 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 (*.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)))))))>
#<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 (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 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))) #s(literal 1 binary64))>
#<alt (-.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))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 x) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.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)))) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))>
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#<alt (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 eps (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))))>
#<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 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (cos.f64 eps) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 eps) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (cos.f64 eps) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 eps) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1440 binary64) (*.f64 #s(literal -1/80640 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) x) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/80640 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/1440 binary64) x)))))))>
Calls

90 calls:

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

rewrite138.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
041555
1708532
Stop Event
1×node limit
Counts
20 → 344
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 #s(literal -1/2 binary64) (cos.f64 x))
(/.f64 (sin.f64 x) eps)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 eps))
(sin.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)))
(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 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(-.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 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))
(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 (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))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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 1 binary64))
(pow.f64 (*.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 1 binary64))
(pow.f64 (cbrt.f64 (*.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 3 binary64))
(pow.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))
(sqrt.f64 (pow.f64 (*.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)))
(log.f64 (pow.f64 (exp.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)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))))))
(cbrt.f64 (pow.f64 (*.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 3 binary64)))
(expm1.f64 (log1p.f64 (*.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))))))))
(log1p.f64 (expm1.f64 (*.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))))))))
(exp.f64 (log.f64 (*.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))))))))
(exp.f64 (*.f64 (log.f64 (*.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 1 binary64)))
#s(literal 0 binary64)
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))))
(pow.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))))
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(expm1.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (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)) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))) (sqrt.f64 (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))

simplify191.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
759×associate-*r*
729×fma-define
608×associate-*l*
335×distribute-rgt-in
322×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110521873
1276019940
Stop Event
1×node limit
Counts
536 → 675
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))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) #s(literal 1 binary64))
(-.f64 (+.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)))) #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 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(/.f64 x eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) x)))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))
(+.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 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))
(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) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(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) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.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) (+.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) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))))
(*.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 (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 (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 (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)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+.f64 (*.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 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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) (+.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 #s(literal -1 binary64) (sin.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.f64 #s(literal -1/2 binary64) eps)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.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))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))
(-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 eps (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1/2 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 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))
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(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 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 (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 #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 #s(literal 1/24 binary64) eps) (cos.f64 x))))))))
(*.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 (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) (+.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 (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) (+.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 (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) (+.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(*.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 (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) (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 (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) (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 (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) (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(-.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 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 eps)))) #s(literal -1 binary64))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (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 (sin.f64 eps) #s(literal 1/6 binary64)))) (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))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(+.f64 (cos.f64 x) (-.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) (fma.f64 (neg.f64 eps) (sin.f64 x) #s(literal -1 binary64)))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) #s(literal 1 binary64))
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(+.f64 (cos.f64 x) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (+.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)))) #s(literal 1 binary64))
(+.f64 (cos.f64 x) (-.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/6 binary64)))) (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) (fma.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)) #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))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(/.f64 x eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) eps)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) eps)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1/120 binary64) eps))) (/.f64 #s(literal 1/6 binary64) eps)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) eps)) (/.f64 #s(literal -1/6 binary64) eps)) (/.f64 #s(literal 1 binary64) eps)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/1440 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/2 binary64))
(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 1/1440 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 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)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 eps))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
(*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 eps))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))))
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(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 eps))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) x)))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 1/6 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) x))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)))

eval108.0ms (0.7%)

Compiler

Compiled 17 797 to 4 115 computations (76.9% saved)

prune140.0ms (1%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New9029911
Fresh31821
Picked235
Done134
Total90833941
Accuracy
100.0%
Counts
941 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.3%
(-.f64 (-.f64 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓55.7%
(-.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))
94.7%
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
79.3%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓56.8%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓56.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓55.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶55.2%
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
52.1%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓54.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
95.9%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
95.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
56.3%
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
▶84.9%
(*.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))
▶98.5%
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
74.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
95.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
96.1%
(*.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)))
94.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
▶95.1%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
94.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
95.0%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
94.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
94.7%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
54.4%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
83.2%
(*.f64 eps (cbrt.f64 (pow.f64 (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 3 binary64))))
56.3%
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
98.4%
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 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))))))
✓99.2%
(*.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))))))
51.8%
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
▶51.8%
#s(literal 0 binary64)
Compiler

Compiled 835 to 599 computations (28.3% saved)

simplify66.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 eps x)
✓cost-diff256
(+.f64 x (-.f64 eps x))
✓cost-diff256
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
✓cost-diff256
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
✓cost-diff256
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
✓cost-diff256
(cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
✓cost-diff256
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
✓cost-diff-6272
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) eps)
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
✓cost-diff6592
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff6592
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff6720
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
Rules
867×fma-define
497×distribute-lft-in
459×distribute-rgt-in
420×distribute-lft-out
278×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050940
1117940
2236925
3552739
41292739
54705739
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) 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))))
#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
#s(literal 0 binary64)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
x
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(cos.f64 (*.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 x eps))
#s(literal 1 binary64)
(/.f64 x eps)
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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
#s(literal -2 binary64)
Outputs
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(*.f64 eps #s(literal 1/2 binary64))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) 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) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) 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 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(literal 0 binary64)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))
x
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))
(+.f64 (cos.f64 (fma.f64 eps (/.f64 x eps) eps)) #s(literal -1 binary64))
(+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
(cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(cos.f64 (fma.f64 eps (/.f64 x eps) eps))
(cos.f64 (+.f64 eps x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(+.f64 eps x)
eps
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
#s(literal 1 binary64)
(/.f64 x eps)
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 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(*.f64 eps #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
eps
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -2 binary64)

localize219.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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))
✓accuracy99.8%
(*.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))))
✓accuracy99.4%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy65.3%
(+.f64 x (-.f64 eps x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
✓accuracy99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
✓accuracy99.3%
(cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
✓accuracy58.5%
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
✓accuracy99.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
✓accuracy99.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) x)
✓accuracy100.0%
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
✓accuracy99.8%
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
accuracy99.4%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓accuracy54.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
Samples
141.0ms235×1valid
11.0ms6×5exit
5.0ms14×0valid
2.0ms1×3valid
Compiler

Compiled 286 to 46 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 40.0ms (34.1% of total)
ival-sin: 15.0ms (12.8% of total)
ival-add: 14.0ms (11.9% of total)
adjust: 12.0ms (10.2% of total)
ival-cos: 8.0ms (6.8% of total)
ival-div: 7.0ms (6% of total)
...in/eval/compile.rkt:77:19: 7.0ms (6% of total)
ival-sub: 6.0ms (5.1% of total)
ival-pow2: 5.0ms (4.3% 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)

series27.0ms (0.2%)

Counts
19 → 336
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))>
#<alt (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))>
#<alt (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))>
#<alt (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x eps))>
#<alt (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (-.f64 eps x)>
#<alt (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.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))>
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 (*.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 (*.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 (*.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 (*.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 (*.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)>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.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))))))))>
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#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
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#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))))))>
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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)))))>
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#<alt (*.f64 (sin.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)))))>
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#<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))))))>
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#<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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
Calls

102 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
1.0ms
eps
@inf
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
1.0ms
eps
@-inf
(* (sin (* (pow eps 2) (/ 1/2 eps))) (* -2 (sin (* 1/2 (+ (* 2 x) eps)))))
1.0ms
eps
@0
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))
1.0ms
x
@inf
(* eps (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))))

rewrite137.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
049618
1854618
Stop Event
1×node limit
Counts
19 → 329
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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)))))
(sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
(-.f64 eps x)
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 (exp.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 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (pow.f64 eps #s(literal 2 binary64)) (/.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 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) (sqrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) eps)
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 eps #s(literal 1/4 binary64)) x))
(+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) (sqrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 (*.f64 (/.f64 x eps) eps))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 (/.f64 x eps) eps))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1 binary64))) (cos.f64 (*.f64 eps (/.f64 x eps)))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1 binary64))) (sin.f64 (*.f64 eps (/.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) (sqrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (/.f64 x eps) eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (/.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))) #s(literal 1 binary64))
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(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (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) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (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 x (-.f64 eps x))))) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) #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))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))

simplify263.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
529×fma-define
396×fmm-def
370×*-commutative
267×distribute-lft-in
260×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101021414
1240720719
2592819240
Stop Event
1×node limit
Counts
665 → 631
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 (*.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 (*.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 (*.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 (*.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 (*.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)
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(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (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) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (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 x (-.f64 eps x))))) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (+.f64 x (-.f64 eps x)))) #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))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
Outputs
(*.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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (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 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 eps #s(literal -2 binary64)))) (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 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) (*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/24 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) 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 eps #s(literal 1/2 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 eps #s(literal 1/2 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 eps #s(literal 1/2 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 eps #s(literal 1/2 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) 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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) 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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) 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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 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 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) 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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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) (fma.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))) (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))))))
(fma.f64 x (fma.f64 x (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))) (cos.f64 (*.f64 eps #s(literal 1/2 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) (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)))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.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))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (*.f64 #s(literal -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))))))
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(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
(*.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 #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))

eval84.0ms (0.6%)

Compiler

Compiled 14 475 to 3 017 computations (79.2% saved)

prune103.0ms (0.7%)

Pruning

35 alts after pruning (25 fresh and 10 done)

PrunedKeptTotal
New7068714
Fresh51722
Picked145
Done066
Total71235747
Accuracy
100.0%
Counts
747 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(fma.f64 x (fma.f64 x (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
57.3%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.3%
(-.f64 (-.f64 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓55.7%
(-.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))
94.7%
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
79.3%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓56.8%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓56.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓55.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓55.2%
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
55.2%
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64))
52.1%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
✓54.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
95.9%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
56.3%
(*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
51.7%
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
95.2%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
56.3%
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
✓84.9%
(*.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))
98.5%
(*.f64 (sin.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.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))))))
74.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
95.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
96.1%
(*.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)))
94.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓95.1%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
95.1%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
94.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
94.6%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
94.7%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
54.4%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
82.5%
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/6 binary64) eps))))
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))))))
✓99.2%
(*.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))))))
51.8%
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
✓51.8%
#s(literal 0 binary64)
Compiler

Compiled 1 209 to 591 computations (51.1% saved)

regimes43.0ms (0.3%)

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

3 calls:

14.0ms
x
14.0ms
eps
12.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts
36 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 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))))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.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 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.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 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (neg.f64 (sin.f64 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 (*.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 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) 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:

10.0ms
eps
9.0ms
x
9.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
33 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 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))))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.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 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(*.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 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
Outputs
(*.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 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Calls

3 calls:

9.0ms
x
9.0ms
eps
7.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
96.0%1x
98.8%2eps
98.6%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
31 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 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))))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.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 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
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:

8.0ms
eps
Results
AccuracySegmentsBranch
98.8%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
25 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 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))))))
(fabs.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 x) (cos.f64 x))
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 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64))
Calls

1 calls:

14.0ms
eps
Results
AccuracySegmentsBranch
98.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
eps
Results
AccuracySegmentsBranch
97.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
eps
Results
AccuracySegmentsBranch
97.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts
20 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
Outputs
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
eps
Results
AccuracySegmentsBranch
97.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

2 calls:

5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
95.1%1x
97.4%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
15 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(-.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))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
eps
Results
AccuracySegmentsBranch
96.9%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
95.1%1x
95.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
95.1%1x
95.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
8 → 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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
Outputs
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
94.7%1eps
94.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
94.7%1x
94.7%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
54.4%1x
54.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
51.8%1eps
51.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.201737051165687e-6
0.002692833556430622
Samples
11.0ms125×1valid
0.0ms3×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 4.0ms (49.9% of total)
adjust: 1.0ms (12.5% of total)
ival-sub: 1.0ms (12.5% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
9.201737051165687e-6
0.002692833556430622
Samples
8.0ms92×1valid
2.0ms36×0valid
Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (44.1% of total)
adjust: 1.0ms (14.7% of total)
ival-sub: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
9.201737051165687e-6
0.002692833556430622
Samples
10.0ms95×1valid
2.0ms33×0valid
Compiler

Compiled 268 to 203 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (38.5% of total)
ival-sub: 2.0ms (25.7% of total)
adjust: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
9.201737051165687e-6
0.002692833556430622
Samples
9.0ms95×1valid
2.0ms33×0valid
Compiler

Compiled 236 to 187 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (57.6% of total)
adjust: 1.0ms (14.4% of total)
ival-add: 1.0ms (14.4% of total)
ival-sub: 1.0ms (14.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
9.201737051165687e-6
0.002692833556430622
Samples
9.0ms94×1valid
2.0ms34×0valid
Compiler

Compiled 220 to 163 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (44.5% of total)
adjust: 1.0ms (14.8% of total)
ival-sub: 1.0ms (14.8% of total)
ival-add: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
9.201737051165687e-6
0.002692833556430622
Samples
6.0ms63×1valid
3.0ms65×0valid
Compiler

Compiled 188 to 147 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (49.8% of total)
adjust: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
ival-sub: 1.0ms (16.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.754448720972639e-6
9.201737051165687e-6
Samples
7.0ms79×1valid
0.0ms1×0valid
Compiler

Compiled 167 to 126 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (40.5% of total)
adjust: 1.0ms (20.3% of total)
ival-sub: 1.0ms (20.3% of total)
ival-add: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.002692833556430622
0.003314163119087353
Samples
2.0ms48×0valid
Compiler

Compiled 99 to 77 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (77.6% 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)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative
26×+-commutative
17×sub-neg
6×neg-sub0
6×mul-1-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101071
11801071
22071071
32271071
42321071
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 5460236245818027/36893488147419103232 binary64)) (*.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 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 5902958103587057/36893488147419103232 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 6862188795419953/36893488147419103232 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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 8190354368727041/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 6640827866535439/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 4796153459164483/18446744073709551616 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 5312662293228351/590295810358705651712 binary64)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 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 5460236245818027/36893488147419103232 binary64)) (*.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 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 5460236245818027/36893488147419103232 binary64)) (*.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 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(if (<=.f64 eps #s(literal 5902958103587057/36893488147419103232 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 5902958103587057/36893488147419103232 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 6862188795419953/36893488147419103232 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 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 6862188795419953/36893488147419103232 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 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 eps #s(literal 8190354368727041/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 8190354368727041/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x eps))))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 8190354368727041/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (+.f64 (cos.f64 (*.f64 eps (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 eps #s(literal 6640827866535439/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 6640827866535439/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 6640827866535439/36893488147419103232 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (+.f64 (cos.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 eps #s(literal 4796153459164483/18446744073709551616 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 4796153459164483/18446744073709551616 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 4796153459164483/18446744073709551616 binary64)) (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(if (<=.f64 eps #s(literal 5312662293228351/590295810358705651712 binary64)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.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)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 5312662293228351/590295810358705651712 binary64)) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))) (-.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 5312662293228351/590295810358705651712 binary64)) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))) (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(if (<=.f64 eps #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal -1 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)

soundness957.0ms (6.6%)

Rules
974×log1p-expm1-u
974×expm1-log1p-u
595×distribute-lft-in
529×fma-define
524×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101021414
1240720719
2592819240
049618
1854618
0129938065
1349235622
055211647
1122211110
2334710801
01268
116168
2245868
041555
1708532
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1 034 to 359 computations (65.3% saved)

preprocess88.0ms (0.6%)

Compiler

Compiled 670 to 250 computations (62.7% saved)

end0.0ms (0%)

Profiling

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