2cos (problem 3.3.5)

Time bar (total: 17.0s)

analyze67.0ms (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: 45.0ms
ival-fabs: 13.0ms (29.1% of total)
ival-cos: 9.0ms (20.2% of total)
...c/correct-round.rkt:141:19: 7.0ms (15.7% of total)
ival-<: 4.0ms (9% of total)
ival-mult: 3.0ms (6.7% of total)
ival-<=: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-and: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample10.3s (60.5%)

Results
3.9s5699×2valid
3.9s25730×0precondition
797.0ms2484×1valid
11.0ms73×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.8s
ival-cos: 2.7s (40.1% of total)
...c/correct-round.rkt:141:19: 1.2s (17.2% of total)
ival-<=: 489.0ms (7.2% of total)
ival-<: 403.0ms (5.9% of total)
ival-fabs: 400.0ms (5.9% of total)
ival-sub: 396.0ms (5.8% of total)
ival-add: 375.0ms (5.5% of total)
ival-mult: 371.0ms (5.5% of total)
backward-pass: 274.0ms (4% of total)
ival-and: 143.0ms (2.1% of total)
const: 49.0ms (0.7% of total)
Bogosity

preprocess69.0ms (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))

explain555.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10-1(57.40694428228144 0.022003854538913466)(cos.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-eps
Results
397.0ms362×2valid
24.0ms148×1valid
0.0ms2×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 370.0ms
ival-cos: 336.0ms (90.8% of total)
backward-pass: 16.0ms (4.3% of total)
ival-add: 10.0ms (2.7% of total)
ival-sub: 7.0ms (1.9% of total)
const: 1.0ms (0.3% 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
▶49.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(cos.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Rules
39×fma-define
32×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)

localize99.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(cos.f64 (+.f64 x eps))
✓accuracy49.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
77.0ms181×2valid
12.0ms74×1valid
0.0ms1×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-cos: 49.0ms (75.2% of total)
backward-pass: 7.0ms (10.7% of total)
ival-add: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.1% of total)
const: 0.0ms (0% of total)

series8.0ms (0%)

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

21 calls:

TimeVariablePointExpression
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))

rewrite236.0ms (1.4%)

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))
(+.f64 x eps)
(cos.f64 x)
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.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)))
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(+.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))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (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)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 x)))

simplify150.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
055211647
1119711110
2332810801
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)))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
#s(literal 1 binary64)
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(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (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)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
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)))
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(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

eval46.0ms (0.3%)

Compiler

Compiled 5791 to 1041 computations (82% saved)

prune185.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3397346
Fresh000
Picked011
Done000
Total3398347
Accuracy
99.8%
Counts
347 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓49.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶48.7%
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
▶79.6%
(*.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)))))
▶78.7%
(*.f64 (neg.f64 eps) (sin.f64 x))
▶99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.6%
(*.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 211 to 146 computations (30.8% saved)

simplify107.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 eps x)
✓cost-diff256
(+.f64 x (-.f64 eps x))
✓cost-diff256
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
✓cost-diff256
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
✓cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
✓cost-diff0
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(neg.f64 eps)
✓cost-diff0
(*.f64 (neg.f64 eps) (sin.f64 x))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 (*.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)))))
Rules
644×sub-neg
465×distribute-lft-neg-in
370×associate-*r*
367×neg-sub0
350×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043622
191622
2164604
3290562
4512562
51456562
65079562
77864562
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 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.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 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
#s(literal -2 binary64)
Outputs
(*.f64 (sin.f64 (*.f64 #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 #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 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(sin.f64 (*.f64 #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 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 eps (sin.f64 (neg.f64 x)))
(neg.f64 eps)
eps
(sin.f64 x)
x
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) 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 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
eps
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (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 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (*.f64 eps #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 (*.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 -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 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (-.f64 eps x))
eps
x
(-.f64 eps x)
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 eps (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
#s(literal -2 binary64)

localize306.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓accuracy99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓accuracy61.2%
(+.f64 x (-.f64 eps x))
✓accuracy100.0%
(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))
✓accuracy99.8%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(neg.f64 eps)
✓accuracy100.0%
(*.f64 (neg.f64 eps) (sin.f64 x))
✓accuracy100.0%
(cos.f64 eps)
✓accuracy50.5%
(-.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)))
✓accuracy99.8%
(*.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)))))
Results
251.0ms254×1valid
1.0ms1×2valid
0.0ms1×0valid
Compiler

Compiled 205 to 37 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 95.0ms (53.7% of total)
backward-pass: 18.0ms (10.2% of total)
ival-sin: 18.0ms (10.2% of total)
ival-cos: 14.0ms (7.9% of total)
ival-fma: 9.0ms (5.1% of total)
ival-sub: 9.0ms (5.1% of total)
ival-add: 9.0ms (5.1% of total)
ival-neg: 3.0ms (1.7% of total)
const: 2.0ms (1.1% of total)

series55.0ms (0.3%)

Counts
21 → 381
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 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<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 (neg.f64 eps) (sin.f64 x))>
#<alt (neg.f64 eps)>
#<alt (sin.f64 x)>
#<alt (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))>
#<alt (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (-.f64 eps x)>
#<alt (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
Outputs
#<alt (*.f64 #s(literal -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))))))>
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#<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 (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 (*.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 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
Calls

105 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))
3.0ms
x
@inf
(- (* (* -1/2 eps) (cos x)) (sin x))
3.0ms
eps
@inf
(* eps (- (* (* -1/2 eps) (cos x)) (sin x)))
2.0ms
x
@inf
(* (sin (* 1/2 (+ (* 2 x) eps))) (* -2 (sin (+ (* 1/2 eps) 0))))
1.0ms
eps
@0
(* (neg eps) (sin x))

rewrite136.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
302×log1p-expm1-u
302×expm1-log1p-u
297×add-cube-cbrt
295×add-exp-log
295×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043571
1718391
Stop Event
1×node limit
Counts
21 → 509
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))
(*.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 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(sin.f64 x)
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))
(+.f64 x (-.f64 eps x))
(-.f64 eps x)
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
Outputs
(+.f64 (*.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)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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) eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.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 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))
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(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))

simplify254.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
856×fma-define
443×distribute-lft-in
426×distribute-rgt-in
383×*-commutative
294×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104322390
1267520981
Stop Event
1×node limit
Counts
890 → 624
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 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.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 #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)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #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))))
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(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))))))
(/.f64 (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
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) (fma.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))
(fma.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 #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 (+.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 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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
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(*.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)))))
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x
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(fabs.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps x) x))))))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.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 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)))))
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.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) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (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)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))

eval93.0ms (0.5%)

Compiler

Compiled 12004 to 2648 computations (77.9% saved)

prune110.0ms (0.6%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New65115666
Fresh022
Picked325
Done011
Total65420674
Accuracy
100.0%
Counts
674 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
49.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓49.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.7%
(+.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))))))))
98.7%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
▶98.5%
(*.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 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶99.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
✓78.7%
(*.f64 (neg.f64 eps) (sin.f64 x))
78.3%
(*.f64 (neg.f64 eps) x)
✓99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.2%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
99.6%
(*.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)))
98.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.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)))))
▶98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
99.4%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
50.0%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
▶48.6%
#s(literal 0 binary64)
Compiler

Compiled 541 to 374 computations (30.9% saved)

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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-diff0
(pow.f64 eps #s(literal 2 binary64))
✓cost-diff128
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) x eps)
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-diff128
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
✓cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff-5888
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓cost-diff0
(pow.f64 eps #s(literal 2 binary64))
Rules
888×distribute-lft-in
819×distribute-rgt-in
645×fma-define
606×associate-*r*
468×associate-*l*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
048877
1112861
2256861
3619817
41672815
54458809
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #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)))))
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))))
#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)))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal -2 binary64)
#s(literal 0 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)))))
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 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
#s(literal 1/4 binary64)
(*.f64 eps x)
#s(literal 1 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(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
(neg.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(-.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)
Outputs
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))
(*.f64 eps (*.f64 (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))) (*.f64 (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 #s(literal -2 binary64))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 eps)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (-.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/1920 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64))) eps))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1/1920 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)) eps)))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 (+.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)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (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)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64))))))
(*.f64 eps (*.f64 (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)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 eps (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.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)))
(fma.f64 eps (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 3 binary64))))
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))
(+.f64 #s(literal 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))))
(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))
#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 (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 (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)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64))))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))
(fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64))
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64))))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal -2 binary64)
#s(literal 0 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 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
x
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
(*.f64 eps (*.f64 x #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 eps x)
#s(literal 1 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (neg.f64 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64))))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(neg.f64 eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(-.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)

localize167.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (sin.f64 x) eps)
✓accuracy100.0%
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
✓accuracy98.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
accuracy100.0%
(neg.f64 eps)
accuracy99.9%
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓accuracy99.8%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
✓accuracy99.8%
(*.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)))))
✓accuracy99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓accuracy99.7%
(*.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)))
Results
110.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 272 to 42 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 25.0ms (36.6% of total)
...c/correct-round.rkt:141:19: 10.0ms (14.6% of total)
ival-add: 7.0ms (10.2% of total)
ival-sin: 6.0ms (8.8% of total)
ival-pow: 5.0ms (7.3% of total)
ival-fma: 4.0ms (5.8% of total)
ival-sub: 4.0ms (5.8% of total)
ival-div: 2.0ms (2.9% of total)
ival-cos: 2.0ms (2.9% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series62.0ms (0.4%)

Counts
20 → 266
Calls
Call 1
Inputs
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 x x)>
#<alt (*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))>
#<alt (fma.f64 #s(literal 2 binary64) x eps)>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.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 #s(literal -1/2 binary64) (cos.f64 x))>
#<alt (*.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 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.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)))))>
#<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 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))>
#<alt (/.f64 (sin.f64 x) eps)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.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 -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (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 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/1920 binary64) (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 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.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 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.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 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (sin.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 1/48 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/8 binary64) (sin.f64 x))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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 -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))>
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#<alt (+.f64 (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 (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 (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<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 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.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 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/4 binary64) eps)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x eps)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps)))>
Calls

102 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(* x (- (* 1/4 (* eps x)) 1))
5.0ms
eps
@inf
(* eps (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))))
2.0ms
x
@inf
(* (* (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))) (sin (* (+ eps (+ x x)) 1/2))) -2)
2.0ms
x
@-inf
(* (* (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))) (sin (* (+ eps (+ x x)) 1/2))) -2)
1.0ms
x
@0
(* (* (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))) (sin (* (+ eps (+ x x)) 1/2))) -2)

rewrite176.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
047611
1776599
Stop Event
1×node limit
Counts
20 → 379
Calls
Call 1
Inputs
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (neg.f64 eps))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.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 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #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 (*.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 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(/.f64 (sin.f64 x) eps)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 eps eps)
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 eps #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/56623104000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 #s(literal 1/3840 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3840 binary64)) (pow.f64 eps #s(literal 2 binary64))))
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(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)))
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))

simplify529.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
703×fma-define
529×fma-neg
371×distribute-rgt-in
367×distribute-lft-in
299×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0121028145
1314826558
2789526516
Stop Event
1×node limit
Counts
645 → 773
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.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 -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 4 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.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)))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)))
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 x)) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 (sin.f64 x) #s(literal -1/12 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 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 #s(literal -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(*.f64 #s(literal -1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 2 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 4 binary64)))))
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(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -1/1920 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (pow.f64 eps #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x eps))) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x eps) #s(literal -1 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x eps)) #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(expm1.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 eps x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) eps) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) eps))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) (sqrt.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 x)) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 x) eps)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (sin.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 x)) eps))
(/.f64 (sin.f64 x) eps)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 1 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) eps)) #s(literal 2 binary64))
(/.f64 (sin.f64 x) eps)
(pow.f64 (/.f64 eps (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) eps)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 x) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 x) eps))))
(/.f64 (sin.f64 x) eps)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)))
(/.f64 (sin.f64 x) eps)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) eps)) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) eps)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) eps)))
(/.f64 (sin.f64 x) eps)

eval242.0ms (1.4%)

Compiler

Compiled 21391 to 4077 computations (80.9% saved)

prune149.0ms (0.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New99581003
Fresh4812
Picked325
Done033
Total1002211023
Accuracy
100.0%
Counts
1023 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓49.4%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶98.7%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
97.7%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
▶99.7%
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.7%
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
98.5%
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
99.5%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
99.4%
(*.f64 (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
✓78.7%
(*.f64 (neg.f64 eps) (sin.f64 x))
▶78.3%
(*.f64 (neg.f64 eps) x)
✓99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.6%
(*.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)))
98.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.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)))))
✓98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
▶98.6%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
98.6%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
▶54.7%
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
50.0%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
✓48.6%
#s(literal 0 binary64)
Compiler

Compiled 553 to 385 computations (30.4% saved)

simplify74.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff128
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))
✓cost-diff512
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓cost-diff512
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
cost-diff0
(*.f64 eps x)
✓cost-diff64
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
✓cost-diff256
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
✓cost-diff-6144
(*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 eps #s(literal 1/4 binary64))
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
cost-diff0
(neg.f64 eps)
✓cost-diff0
(*.f64 (neg.f64 eps) x)
✓cost-diff-6144
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
cost-diff-6144
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
cost-diff0
(+.f64 x x)
cost-diff0
(pow.f64 eps #s(literal 2 binary64))
Rules
589×distribute-lft-in
525×distribute-rgt-in
443×fma-define
424×fma-neg
369×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0521111
11261041
23231029
3991956
43115956
56333956
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #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) (*.f64 eps eps)) #s(literal 1/48 binary64)))))
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
#s(literal 1/48 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 eps (+.f64 x x))
(+.f64 x x)
x
#s(literal -2 binary64)
(*.f64 (neg.f64 eps) x)
(neg.f64 eps)
eps
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 eps #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
#s(literal -1 binary64)
(*.f64 eps x)
eps
x
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
eps
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal -2 binary64))
(*.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 eps)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 eps)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 eps)))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (*.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))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (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)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 eps (*.f64 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #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 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/2 binary64))))
eps
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))
(+.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))))
(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))
(fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 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 (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)))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))
(fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))
(*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 1/48 binary64)
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
(+.f64 eps (+.f64 x x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal -2 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(neg.f64 eps)
eps
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 eps (fma.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
eps
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
x
(*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 eps #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
#s(literal -1 binary64)
(*.f64 eps x)
eps
x
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 eps (fma.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x)))
eps
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(fma.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 eps (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/4 binary64)))
(fma.f64 eps #s(literal 1/4 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 eps (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize338.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.6%
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
✓accuracy58.2%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
✓accuracy58.1%
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 eps x)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓accuracy99.8%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓accuracy100.0%
(-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
✓accuracy99.7%
(*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 (neg.f64 eps) x)
accuracy100.0%
(neg.f64 eps)
accuracy99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps))
✓accuracy99.7%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)))
Results
220.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 35.0ms (49.4% of total)
...c/correct-round.rkt:141:19: 8.0ms (11.3% of total)
ival-pow: 8.0ms (11.3% of total)
ival-add: 7.0ms (9.9% of total)
ival-div: 4.0ms (5.6% of total)
ival-sub: 4.0ms (5.6% of total)
ival-sin: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.3%)

Counts
20 → 311
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))>
#<alt (*.f64 (neg.f64 eps) x)>
#<alt (*.f64 eps #s(literal 1/4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))>
#<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 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)))>
#<alt (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps))>
#<alt (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 eps (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))>
Outputs
#<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 (*.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 (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal 1/4 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<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)))))>
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Calls

102 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))
1.0ms
eps
@inf
(* eps (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x))))
1.0ms
eps
@0
(* eps (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x))))
1.0ms
eps
@-inf
(* eps (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x))))
1.0ms
eps
@inf
(+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps))

rewrite294.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
383×log1p-expm1-u
383×expm1-log1p-u
375×add-cube-cbrt
371×add-exp-log
371×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050678
1889664
Stop Event
1×node limit
Counts
20 → 345
Calls
Call 1
Inputs
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 eps) x)
(*.f64 eps #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)))
(*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 eps (pow.f64 x #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 eps))) #s(literal 2 binary64))
(neg.f64 (*.f64 eps x))
(log.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (neg.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))))
(fma.f64 x (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (neg.f64 eps) x (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (neg.f64 eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 eps))) (sqrt.f64 (*.f64 x (neg.f64 eps))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (neg.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 eps))) #s(literal 2 binary64))
(neg.f64 (*.f64 eps x))
(log.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (neg.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
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(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))))
(pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 eps (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))

simplify461.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
660×fma-neg
589×associate-*r*
541×associate-*l*
435×fma-define
289×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093825774
1216624058
2729424050
Stop Event
1×node limit
Counts
656 → 629
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
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(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
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(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 x eps))))
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(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) eps)))
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(*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.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 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
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(+.f64 (fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))))
(pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 eps (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
Outputs
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)) (neg.f64 eps))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) eps)
(*.f64 eps #s(literal 1/4 binary64))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (sqrt.f64 (fma.f64 eps #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal -2 binary64))) (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))

eval112.0ms (0.7%)

Compiler

Compiled 19204 to 3667 computations (80.9% saved)

prune166.0ms (1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New8606866
Fresh2911
Picked415
Done145
Total86720887
Accuracy
100.0%
Counts
887 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
98.7%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
97.7%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
47.7%
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
99.7%
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
98.5%
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
99.5%
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
99.4%
(*.f64 (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
✓78.7%
(*.f64 (neg.f64 eps) (sin.f64 x))
✓78.3%
(*.f64 (neg.f64 eps) x)
✓99.5%
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x)) (sin.f64 x)))
99.6%
(*.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)))
98.7%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
98.7%
(*.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)))))
✓98.7%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
53.0%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
98.6%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
54.7%
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
50.0%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
✓48.6%
#s(literal 0 binary64)
Compiler

Compiled 796 to 379 computations (52.4% saved)

regimes33.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(*.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 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.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 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 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 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (sin.f64 (*.f64 #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 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 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
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)))))
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)

regimes30.0ms (0.2%)

Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(*.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 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.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 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 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 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
Outputs
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
Calls

3 calls:

10.0ms
x
9.0ms
eps
9.0ms
(-.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)

regimes13.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(*.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 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (sin.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) (neg.f64 eps))
(*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
Outputs
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
Calls

2 calls:

6.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes85.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(*.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 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (-.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (*.f64 x (*.f64 eps (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
Calls

2 calls:

5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 (neg.f64 eps) x)
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (-.f64 eps #s(literal 0 binary64)) x)
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
78.3%1x
78.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
48.6%1x
48.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
23×*-commutative
13×+-commutative
8×sub-neg
6×neg-sub0
5×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049274
181270
299270
3110270
4116270
5117270
Stop Event
1×saturated
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)))))
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(*.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 #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 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (neg.f64 eps))
(*.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 x eps))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
#s(literal 0 binary64)

soundness1.1s (6.4%)

Rules
974×log1p-expm1-u
974×expm1-log1p-u
856×fma-define
601×distribute-lft-in
524×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055211647
1119711110
2332810801
01268
116168
2245868
043571
1718391
0104322390
1267520981
047611
1776599
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 886 to 319 computations (64% saved)

preprocess85.0ms (0.5%)

Compiler

Compiled 192 to 112 computations (41.7% saved)

end0.0ms (0%)

Profiling

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