2cos (problem 3.3.5)

Time bar (total: 15.2s)

analyze57.0ms (0.4%)

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%74.7%0%0%0%3
0%0%25.3%74.7%0%0%0%4
0%0%19%81%0%0%0%5
0%0%15.8%84.2%0%0%0%6
0%0%11.1%88.9%0%0%0%7
0%0%8.7%91.3%0%0%0%8
0%0%5.9%94.1%0%0%0%9
0%0%4.5%95.5%0%0%0%10
0%0%3.1%96.9%0%0%0%11
0%0%2.7%97.3%0%0%0%12
Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 9.0ms (30.8% of total)
ival-<=: 7.0ms (24% of total)
ival-mult: 3.0ms (10.3% of total)
ival-<: 3.0ms (10.3% of total)
ival-add: 2.0ms (6.8% of total)
ival-fabs: 2.0ms (6.8% of total)
ival-sub: 2.0ms (6.8% of total)
ival-and: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

sample9.4s (62.2%)

Results
3.5s25861×0precondition
3.1s5716×2valid
547.0ms2464×1valid
11.0ms76×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.6s
ival-cos: 2.9s (50.7% of total)
ival-mult: 506.0ms (9% of total)
ival-<=: 438.0ms (7.8% of total)
ival-fabs: 393.0ms (7% of total)
ival-<: 361.0ms (6.4% of total)
ival-add: 313.0ms (5.6% of total)
backward-pass: 289.0ms (5.1% of total)
ival-sub: 273.0ms (4.8% of total)
ival-and: 135.0ms (2.4% of total)
const: 71.0ms (1.3% of total)
Bogosity

preprocess65.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
158×fma-neg
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
7761210
8795210
9821210
10827210
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))

explain344.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1462(1.7083622615632588e-159 3.1152893731526003e-164)0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
20-0-(cos.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-eps
Results
150.0ms188×1valid
136.0ms322×2valid
0.0ms2×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-add: 129.0ms (53.6% of total)
ival-cos: 91.0ms (37.8% of total)
backward-pass: 13.0ms (5.4% of total)
ival-sub: 7.0ms (2.9% of total)
const: 1.0ms (0.4% 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
▶47.8%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize113.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 8 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))
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(cos.f64 (+.f64 x eps))
✓accuracy47.9%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Rules
39×fma-define
32×fma-neg
12×sub-neg
10×distribute-rgt-in
10×unsub-neg
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)
Results
67.0ms161×2valid
22.0ms94×1valid
0.0ms1×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-cos: 46.0ms (75.9% of total)
backward-pass: 7.0ms (11.5% of total)
ival-add: 4.0ms (6.6% of total)
ival-sub: 4.0ms (6.6% of total)
const: 0.0ms (0% of total)

series8.0ms (0.1%)

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

rewrite238.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
454×fma-define
401×log-prod
235×fma-neg
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))
(cos.f64 x)
(+.f64 x eps)
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))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.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)))))
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(+.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 #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)))
(-.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)

simplify176.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
597×distribute-lft-in
524×fma-neg
520×distribute-rgt-in
481×times-frac
314×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055211647
1119711110
2333110801
Stop Event
1×node limit
Counts
306 → 346
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)))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(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))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.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))))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
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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))) (+.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 #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)))
(-.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)
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 x (neg.f64 (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) (-.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)))
(+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 eps)) #s(literal -1 binary64)))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (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))
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(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)

eval48.0ms (0.3%)

Compiler

Compiled 5791 to 1042 computations (82% saved)

prune45.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3379346
Fresh000
Picked011
Done000
Total33710347
Accuracy
99.8%
Counts
347 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶47.9%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓47.8%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶46.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
79.0%
(*.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))
▶99.7%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
77.8%
(*.f64 (neg.f64 eps) (sin.f64 x))
▶99.4%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.5%
(*.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)))
▶99.5%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
Compiler

Compiled 299 to 202 computations (32.4% saved)

localize961.0ms (6.3%)

Algorithm
1×egg-herbie
Localize:

Found 36 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
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
✓cost-diff0
(sin.f64 x)
cost-diff0
(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
(cos.f64 eps)
✓cost-diff0
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓cost-diff128
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓cost-diff256
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(*.f64 (sin.f64 x) (sin.f64 eps))
✓accuracy100.0%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
✓accuracy47.9%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓accuracy100.0%
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
✓accuracy100.0%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
✓accuracy99.7%
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
✓accuracy99.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓accuracy99.7%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓accuracy100.0%
(cos.f64 eps)
✓accuracy49.0%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
✓accuracy100.0%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
✓accuracy99.9%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓accuracy99.7%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
Rules
2133×fma-neg
586×fma-define
545×associate-*r*
427×distribute-lft-neg-in
412×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044826
198822
2203822
3399797
4753797
51367797
62826797
74080797
84670797
94995797
105108797
115260797
125360797
135673797
145769797
155815797
165815797
175815797
187366797
197366797
207366797
217366797
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 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))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
#s(literal -2 binary64)
(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 0 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)))
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 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (-.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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal -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 0 binary64)
(-.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 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 (neg.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))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 (neg.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 #s(literal -1/2 binary64) (*.f64 eps (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 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 eps (-.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 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
eps
(-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))
(-.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))
(fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (-.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)))
(-.f64 (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (cos.f64 x)))
(-.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 eps) (neg.f64 (sin.f64 x))))
(*.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)
Results
314.0ms161×2valid
80.0ms94×1valid
0.0ms1×0valid
Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 289.0ms
ival-sin: 99.0ms (34.3% of total)
ival-cos: 65.0ms (22.5% of total)
ival-mult: 62.0ms (21.5% of total)
backward-pass: 31.0ms (10.7% of total)
ival-sub: 17.0ms (5.9% of total)
ival-fma: 7.0ms (2.4% of total)
ival-add: 6.0ms (2.1% of total)
const: 2.0ms (0.7% of total)

series63.0ms (0.4%)

Counts
22 → 331
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))>
#<alt (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 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))>
#<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 #s(literal -1/2 binary64) eps) (cos.f64 x))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 eps (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 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))>
#<alt (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))>
#<alt (*.f64 (sin.f64 x) (sin.f64 eps))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (sin.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 (cos.f64 x) (cos.f64 eps))>
Outputs
#<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 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.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)))))))>
#<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 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<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))))))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))>
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#<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)))>
#<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 (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.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))>
#<alt (-.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))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<alt (cos.f64 eps)>
#<alt (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))))>
#<alt (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))) (*.f64 #s(literal 1/24 binary64) (cos.f64 eps)))))))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
#<alt (*.f64 (cos.f64 eps) (cos.f64 x))>
Calls

111 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
3.0ms
eps
@0
(* 1/6 (* eps (sin x)))
3.0ms
eps
@inf
(- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))
2.0ms
eps
@-inf
(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))
2.0ms
x
@inf
(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))

rewrite168.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
334×add-cube-cbrt
331×add-exp-log
331×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044653
1734593
Stop Event
1×node limit
Counts
22 → 448
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 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 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(-.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 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (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)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(-.f64 (*.f64 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 (*.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 (sin.f64 x) (sin.f64 eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal -1/2 binary64) eps)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (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) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(-.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))
(sqrt.f64 (pow.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)))
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(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))

simplify278.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
389×distribute-rgt-in
376×distribute-lft-in
318×*-commutative
246×+-commutative
188×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0144232885
1377731183
Stop Event
1×node limit
Counts
779 → 853
Calls
Call 1
Inputs
(*.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 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))))))
(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))))
(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))))
(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 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))))
(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))))
(*.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 binary64) eps)
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 #s(literal -2 binary64) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 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 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.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 -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.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 -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.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 -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) eps)
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) eps) (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.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 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
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(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 (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 (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 (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 (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 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
Outputs
(*.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) (+.f64 (*.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)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -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)))))))
(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 (*.f64 x (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 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
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#s(literal 1 binary64)
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(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 2 binary64))
(*.f64 (sin.f64 x) (sin.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64))))
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 eps #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal -1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 eps #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps #s(literal -1/2 binary64))
(exp.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(*.f64 eps (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(*.f64 eps (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (cos.f64 eps))

eval135.0ms (0.9%)

Compiler

Compiled 22205 to 4071 computations (81.7% saved)

prune143.0ms (0.9%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New1067141081
Fresh224
Picked235
Done011
Total1071201091
Accuracy
100.0%
Counts
1091 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))) #s(literal 2 binary64))
78.2%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
✓47.8%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓46.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶46.6%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
98.5%
(+.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))))))))
98.1%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
▶99.7%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
99.4%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
▶77.8%
(*.f64 (neg.f64 eps) (sin.f64 x))
✓99.4%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
▶85.1%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
99.5%
(*.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)))
✓99.5%
(*.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)))
99.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.4%
(*.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)))))
98.0%
(*.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)))))
▶99.3%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
Compiler

Compiled 528 to 371 computations (29.7% saved)

localize226.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓cost-diff12864
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
✓cost-diff12864
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
✓cost-diff12864
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
✓cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
✓cost-diff128
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
✓cost-diff128
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
cost-diff0
(sin.f64 x)
✓cost-diff0
(neg.f64 eps)
✓cost-diff0
(*.f64 (neg.f64 eps) (sin.f64 x))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) 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-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
accuracy100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
✓accuracy44.1%
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 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))
✓accuracy99.7%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
✓accuracy99.6%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(neg.f64 eps)
✓accuracy100.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
accuracy100.0%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
✓accuracy99.9%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓accuracy99.7%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
Rules
836×fma-neg
644×times-frac
408×cube-prod
349×div-sub
333×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037561
180561
2139561
3254561
4483525
5766525
61609525
73575525
86172525
97656525
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
#s(literal -2 binary64)
(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))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.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
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
#s(literal 3 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal -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)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.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 (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(-.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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 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 (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.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
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
#s(literal 3 binary64)
Results
78.0ms254×0valid
3.0ms2×3valid
Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 18.0ms (39.7% of total)
ival-pow: 6.0ms (13.2% of total)
ival-sin: 6.0ms (13.2% of total)
ival-sub: 4.0ms (8.8% of total)
ival-div: 3.0ms (6.6% of total)
ival-cos: 3.0ms (6.6% of total)
ival-add: 3.0ms (6.6% of total)
ival-cbrt: 2.0ms (4.4% of total)
const: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.2%)

Counts
15 → 220
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))>
#<alt (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (neg.f64 eps) (sin.f64 x))>
#<alt (neg.f64 eps)>
#<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 (sin.f64 x) eps)>
#<alt (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))>
#<alt (pow.f64 (sin.f64 x) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 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 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.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 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 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 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.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)))))))>
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#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.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) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* (sin (+ (* 1/2 eps) x)) (* -2 (sin (+ (* 1/2 eps) 0))))
2.0ms
eps
@-inf
(neg eps)
1.0ms
eps
@-inf
(* (sin (+ (* 1/2 eps) x)) (* -2 (sin (+ (* 1/2 eps) 0))))
1.0ms
x
@-inf
(* eps (- (* -1/2 (cos x)) (/ (sin x) eps)))
1.0ms
eps
@inf
(* (sin (+ (* 1/2 eps) x)) (* -2 (sin (+ (* 1/2 eps) 0))))

rewrite229.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
429×log1p-expm1-u
264×associate-*r*
242×expm1-log1p-u
235×add-exp-log
235×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037368
1574345
27738345
Stop Event
1×node limit
Counts
15 → 393
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(*.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 (sin.f64 x) eps)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
Outputs
(+.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1 binary64))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))) (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log1p.f64 (expm1.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(literal 0 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 #s(literal 0 binary64) eps)
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (*.f64 eps (/.f64 (sin.f64 x) eps)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) eps) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(/.f64 (*.f64 eps (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))

simplify272.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
916×fma-neg
669×fma-define
532×times-frac
410×*-commutative
295×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094321273
1224520672
2764820672
Stop Event
1×node limit
Counts
613 → 601
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 x (*.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 x (*.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 x (*.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 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 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 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.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 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) eps) (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) eps)
(*.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)))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (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 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
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(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x)))

eval97.0ms (0.6%)

Compiler

Compiled 14169 to 2850 computations (79.9% saved)

prune102.0ms (0.7%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New77011781
Fresh4711
Picked415
Done134
Total77922801
Accuracy
100.0%
Counts
801 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
78.2%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
✓47.8%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.5%
(+.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))))))))
98.1%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
98.1%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
▶99.7%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.4%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
✓77.8%
(*.f64 (neg.f64 eps) (sin.f64 x))
77.2%
(*.f64 (neg.f64 eps) x)
✓99.4%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.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)))
▶99.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
▶84.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.4%
(*.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)))))
98.3%
(*.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))))
97.8%
(*.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))))
▶98.0%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
47.8%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
▶46.6%
#s(literal 0 binary64)
Compiler

Compiled 563 to 397 computations (29.5% saved)

localize195.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
✓cost-diff6528
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
cost-diff12864
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
✓cost-diff12864
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
✓cost-diff-6336
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
✓cost-diff128
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
✓cost-diff256
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
✓cost-diff256
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 eps #s(literal 1/2 binary64))
✓cost-diff0
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
accuracy44.8%
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 eps #s(literal -1/2 binary64))
accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
✓accuracy99.6%
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
✓accuracy100.0%
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
accuracy99.9%
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓accuracy99.7%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Rules
745×unsub-neg
483×div-sub
475×associate-/r/
471×times-frac
458×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034460
164460
2101454
3192454
4364436
5579436
61160436
72976436
86076436
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 0 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
#s(literal -1 binary64)
(/.f64 x eps)
x
#s(literal 1/2 binary64)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 x)
x
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal -2 binary64)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 0 binary64)
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64))))
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
eps
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 x eps))
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
(neg.f64 (/.f64 x eps))
(/.f64 x (neg.f64 eps))
#s(literal -1 binary64)
(/.f64 x eps)
x
#s(literal 1/2 binary64)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) eps (sin.f64 x)))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 x)
x
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) eps (sin.f64 x)))
eps
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
Results
70.0ms253×0valid
11.0ms3×5exit
Compiler

Compiled 147 to 29 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 22.0ms (46.9% of total)
ival-sin: 7.0ms (14.9% of total)
ival-pow: 6.0ms (12.8% of total)
ival-sub: 5.0ms (10.7% of total)
ival-div: 2.0ms (4.3% of total)
ival-cbrt: 2.0ms (4.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)

series31.0ms (0.2%)

Counts
13 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))>
#<alt (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x eps))>
#<alt (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))>
#<alt (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))>
#<alt (*.f64 eps #s(literal 1/2 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 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.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))))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) eps))))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
Calls

66 calls:

TimeVariablePointExpression
7.0ms
eps
@inf
(* eps (- (* -1 (/ x eps)) 1/2))
1.0ms
x
@inf
(* eps (- (* -1 (/ x eps)) 1/2))
1.0ms
eps
@-inf
(* (sin (+ (* 1/2 eps) x)) (* -2 (sin (* eps 1/2))))
1.0ms
eps
@0
(* eps (- (* -1 (/ x eps)) 1/2))
1.0ms
x
@0
(* eps (- (* -1 (/ x eps)) 1/2))

rewrite200.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1171×log1p-expm1-u
198×associate-*r*
198×expm1-log1p-u
193×add-exp-log
193×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033315
1505302
26146302
Stop Event
1×node limit
Counts
13 → 306
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 eps #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.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 #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))))
(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 -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 (/.f64 x eps) eps) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -1/4 binary64)) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(pow.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 x eps) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
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(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x)))
(-.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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))

simplify207.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
501×associate-*r*
463×fma-neg
449×associate-*l*
365×fma-define
331×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065916719
1153716283
2576216205
Stop Event
1×node limit
Counts
534 → 407
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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 x (*.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 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 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 binary64) eps)
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.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 binary64) x) (*.f64 #s(literal -1/2 binary64) eps))
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(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x)))
(-.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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.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 eps (*.f64 (sin.f64 x) #s(literal 1/6 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 (*.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) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #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 (*.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 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.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 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 binary64)))))
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(+.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
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(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
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(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 1 binary64))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))
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(*.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sqrt.f64 (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (sqrt.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (sin.f64 x))))
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(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (sin.f64 x) (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/4 binary64))))
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(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (sin.f64 x))))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)))))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) #s(literal 3 binary64)))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x))
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(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(*.f64 eps #s(literal 1/2 binary64))

eval66.0ms (0.4%)

Compiler

Compiled 9357 to 2005 computations (78.6% saved)

prune81.0ms (0.5%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New5875592
Fresh11213
Picked235
Done044
Total59024614
Accuracy
100.0%
Counts
614 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
78.2%
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
98.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
✓47.8%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.5%
(+.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))))))))
96.7%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
99.4%
(*.f64 (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
98.1%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
✓99.7%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.4%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
98.0%
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
✓77.8%
(*.f64 (neg.f64 eps) (sin.f64 x))
77.2%
(*.f64 (neg.f64 eps) x)
✓99.4%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.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)))
✓99.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
98.0%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.4%
(*.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)))))
98.0%
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
98.3%
(*.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))))
97.8%
(*.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))))
98.0%
(*.f64 eps (*.f64 eps (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
47.8%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
✓46.6%
#s(literal 0 binary64)
Compiler

Compiled 830 to 409 computations (50.7% saved)

regimes32.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.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 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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 (*.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 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(*.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 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 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 (*.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 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 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 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))))
(*.f64 (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))) #s(literal 2 binary64))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Calls

3 calls:

11.0ms
eps
10.0ms
x
8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.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 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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 (*.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 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps x))
(*.f64 (neg.f64 x) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(*.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 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
Calls

3 calls:

6.0ms
eps
6.0ms
x
5.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

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

3 calls:

6.0ms
eps
6.0ms
x
5.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.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 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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 (*.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 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
Calls

2 calls:

5.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.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 #s(literal -1/2 binary64) (/.f64 x eps))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 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)))))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Outputs
(*.f64 (neg.f64 eps) x)
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
77.2%1x
77.2%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
46.6%1eps
46.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
25×*-commutative
19×unsub-neg
19×neg-mul-1
15×+-commutative
11×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044280
182280
2105280
3124280
4155280
5200280
6202280
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.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)) x))
(*.f64 (neg.f64 eps) x)
#s(literal 0 binary64)
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.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 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64)))))
(*.f64 eps (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
#s(literal 0 binary64)

soundness983.0ms (6.5%)

Rules
974×log1p-expm1-u
974×expm1-log1p-u
916×fma-neg
669×fma-define
597×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094321273
1224520672
2764820672
055211647
1119711110
2333110801
0144232885
1377731183
01268
116168
2245868
037368
1574345
27738345
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 707 to 267 computations (62.2% saved)

preprocess58.0ms (0.4%)

Compiler

Compiled 196 to 106 computations (45.9% saved)

end0.0ms (0%)

Profiling

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